introducao_ao_numpy.ipynb

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      "name": "introducao-ao-numpy",
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
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    "language_info": {
      "name": "python"
    }
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  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "SPxf1Qpw75bb"
      },
      "outputs": [],
      "source": [
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# vetor\n",
        "a1 = np.array([1, 2, 3])\n",
        "\n",
        "# matrix de duas dimensões\n",
        "a2 = np.array([[4, 5, 6],\n",
        "               [7, 8, 9]])\n",
        "\n",
        "# matrix\n",
        "a3 = np.array([[[1, 2, 3],\n",
        "                [4, 5, 6],\n",
        "                [7, 8, 9]],\n",
        "                [[10, 11, 12],\n",
        "                 [13, 14, 15],\n",
        "                 [16, 17, 18]]])"
      ],
      "metadata": {
        "id": "s5EO-6qJ7-TH"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a1.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9Sz20RVY9rK8",
        "outputId": "b46f833a-e30f-4c83-eceb-1d1be9d151aa"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3,)"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1.ndim, a2.ndim"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6bDbIOr7-dHh",
        "outputId": "7903533f-158f-48fd-b5e1-c6ebeb7086f4"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HtauUI_T-exf",
        "outputId": "2759c83e-3979-4ac3-d0cb-b2ade6c4225a"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "18"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "type(a1), type(a2), type(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0MGZo82M-l18",
        "outputId": "79fe0e69-0fc5-4b18-ec90-4b96272e1542"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(numpy.ndarray, numpy.ndarray, numpy.ndarray)"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "rhuldvDe-oOn",
        "outputId": "725d248e-e46e-471a-f282-9d3d5290190e"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "z-WzfqAZADh4",
        "outputId": "3e2977aa-209f-40ce-cf7d-80596ffafb2e"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uk4SRj6WAEIQ",
        "outputId": "7601d1ec-842f-4506-fc19-4e5632ab9104"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 1,  2,  3],\n",
              "        [ 4,  5,  6],\n",
              "        [ 7,  8,  9]],\n",
              "\n",
              "       [[10, 11, 12],\n",
              "        [13, 14, 15],\n",
              "        [16, 17, 18]]])"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Criando arrays"
      ],
      "metadata": {
        "id": "okXgdN3bCApH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "array_simples = np.array([1, 2, 3])\n",
        "array_simples"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "250IfStdAEt0",
        "outputId": "4b8588bf-c7c9-4076-b17b-fb2dcfb2040f"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ones = np.ones((10, 2))\n",
        "ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gFBG4RS9CLnY",
        "outputId": "b56855e6-b18b-49e2-ab68-ed406a91b2f3"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.],\n",
              "       [1., 1.]])"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "zeros = np.zeros((4, 4, 3))\n",
        "zeros"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dHBSJ46zC_tJ",
        "outputId": "9adeaf9d-606f-430e-b27c-3f2f581f6578"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.]],\n",
              "\n",
              "       [[0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.]],\n",
              "\n",
              "       [[0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.]],\n",
              "\n",
              "       [[0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.],\n",
              "        [0., 0., 0.]]])"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "range_a1 = np.arange(0, 10, 2)\n",
        "range_a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZY98UjeBD-WB",
        "outputId": "658da50e-fa3a-4189-f08b-9e2bb3b1d9a3"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 2, 4, 6, 8])"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "random_1 = np.random.randint(10, size=(5, 3))\n",
        "random_1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ihxQ6OUFFAcx",
        "outputId": "3339609b-09a3-4b38-a1af-df28d03a8e65"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 2, 9],\n",
              "       [3, 1, 7],\n",
              "       [4, 3, 7],\n",
              "       [1, 8, 2],\n",
              "       [1, 8, 7]])"
            ]
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "random_2 = np.random.random((5, 3))\n",
        "random_2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Cfpv2-Z1S_25",
        "outputId": "d3953db9-bb62-4a5e-a744-efc85f9d73f2"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0.89890544, 0.88582479, 0.33857118],\n",
              "       [0.263466  , 0.84783358, 0.12396366],\n",
              "       [0.97984958, 0.37468796, 0.67840056],\n",
              "       [0.09422167, 0.92172837, 0.39545067],\n",
              "       [0.73629198, 0.48244255, 0.78658796]])"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.random.seed(42)\n",
        "np.random.randint(10, size=(5, 3))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "V5eg8M8GUPq6",
        "outputId": "d5bad894-0232-4989-e002-a2c800e10a7e"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[6, 3, 7],\n",
              "       [4, 6, 9],\n",
              "       [2, 6, 7],\n",
              "       [4, 3, 7],\n",
              "       [7, 2, 5]])"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Acessando e visualizando os elementos"
      ],
      "metadata": {
        "id": "zasQ8a3DXdIG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wgiJtaWjV_rn",
        "outputId": "ec39d8d4-3c6f-4594-9067-18266f1e0a15"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5WJJLIbLXisy",
        "outputId": "50679999-c556-4561-faa3-169e1a91a2f4"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "d9fPonH7X2LH",
        "outputId": "1b38d9b9-f8c2-4c7f-ef7e-9808370aca7a"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 1,  2,  3],\n",
              "        [ 4,  5,  6],\n",
              "        [ 7,  8,  9]],\n",
              "\n",
              "       [[10, 11, 12],\n",
              "        [13, 14, 15],\n",
              "        [16, 17, 18]]])"
            ]
          },
          "metadata": {},
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1[0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2fUcrGv4X2t9",
        "outputId": "2fbd803b-da68-42db-af99-c8d55260560c"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[0,0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "75Vp9P9QYdFn",
        "outputId": "87f7a906-d90e-4892-e2f3-74e8dc8872b7"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4"
            ]
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[:2, :2, :2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7AeW2fVxYeds",
        "outputId": "bef1a840-639d-43ff-f21e-94c62c696b13"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 1,  2],\n",
              "        [ 4,  5]],\n",
              "\n",
              "       [[10, 11],\n",
              "        [13, 14]]])"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Aritmética"
      ],
      "metadata": {
        "id": "qTmL7iwgO124"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a1"
      ],
      "metadata": {
        "id": "14wD57oxYqP1",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2ee9df97-4167-47ff-8b40-346ee221bca7"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ones = np.ones(3)\n",
        "ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "j603kbSXO8-Y",
        "outputId": "92ce70fc-dc31-47f3-8111-b8da7c0c7ec3"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1., 1., 1.])"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 + ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zbWL9ERhPAD_",
        "outputId": "508434bc-2b46-429c-e799-fcbe9d7eba8f"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([2., 3., 4.])"
            ]
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 - ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "x_us6OBHPBvX",
        "outputId": "8e0e3b0d-2ba6-47a8-d7e5-09285b162e61"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0., 1., 2.])"
            ]
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 * ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TBOJ6t4KPFbf",
        "outputId": "5245528e-d561-49d0-f77e-634c7ebff0e7"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1., 2., 3.])"
            ]
          },
          "metadata": {},
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 / ones"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fyZqmXJaPHQ7",
        "outputId": "70a36024-5db7-418c-9967-13102e7b9dad"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1., 2., 3.])"
            ]
          },
          "metadata": {},
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2 // a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7c7XkJasPOM8",
        "outputId": "76528658-9f53-47ea-e54d-b1eaa4a8a47e"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 2, 2],\n",
              "       [7, 4, 3]])"
            ]
          },
          "metadata": {},
          "execution_count": 29
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 ** 2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "y5xjjg2qPYWu",
        "outputId": "6259dd21-0eea-454a-c97e-3c0bd85701e5"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 4, 9])"
            ]
          },
          "metadata": {},
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.square(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jG-gWRecPaIf",
        "outputId": "584414c5-b256-43d4-fc4b-51b171960c16"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 4, 9])"
            ]
          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 % 2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2JNk4ZeoPdw8",
        "outputId": "45b439d3-9b6b-4075-ab55-d10ff093d5ad"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 0, 1])"
            ]
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.log(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "l0qwGA5EPfew",
        "outputId": "b41f2350-c70d-45bc-be8f-38c7238356b8"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.        , 0.69314718, 1.09861229])"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.exp(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Y9IkpNfkPh8Q",
        "outputId": "a4999233-6b83-43cf-ea2c-6352354e0188"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 2.71828183,  7.3890561 , 20.08553692])"
            ]
          },
          "metadata": {},
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Agregação"
      ],
      "metadata": {
        "id": "eO_vgzcNTchf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sum(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8V9uMV_5RsVb",
        "outputId": "1f6b55e8-5a30-4327-a2dd-373c84044995"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6"
            ]
          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.sum(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "D8b4bA3eTfJk",
        "outputId": "a117acf1-16a8-4429-fbc2-f893ee2d2d0a"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6"
            ]
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "grande_array = np.random.random(1000000)\n",
        "grande_array.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "S9GjWmrGTg_7",
        "outputId": "4c30f36e-1fdb-4957-bdb1-ddf5fc792a3f"
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1000000"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "%timeit sum(grande_array) # Python sum()\n",
        "%timeit np.sum(grande_array) # NumPy np.sum()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oFjpD6CSU4Cb",
        "outputId": "51f73ebf-2a26-4b66-ba94-321b6ddd76e6"
      },
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1 loop, best of 5: 166 ms per loop\n",
            "The slowest run took 4.53 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
            "1000 loops, best of 5: 390 µs per loop\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RqUTTWllW6xA",
        "outputId": "2d6f0695-b118-41f1-8e97-7ef6a6e4d043"
      },
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.mean(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QPPXDgxnXGl_",
        "outputId": "38fc751c-f798-41fb-f136-64994e71af92"
      },
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6.5"
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.max(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "hbQPxh91XuN2",
        "outputId": "1deb3bf8-0dc8-4778-c6a1-a0c29ca6fbb4"
      },
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "9"
            ]
          },
          "metadata": {},
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.min(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ps448m_NX7Q-",
        "outputId": "33917b0e-de67-4c6b-dcc0-31223f75572e"
      },
      "execution_count": 42,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4"
            ]
          },
          "metadata": {},
          "execution_count": 42
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.std(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "G5qjmxDuYEeA",
        "outputId": "33204c5a-8195-46af-88fd-f8ed3500215a"
      },
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1.707825127659933"
            ]
          },
          "metadata": {},
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.var(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "g1tw6jS9YPxn",
        "outputId": "fdb30934-5ad0-44ac-a949-bfd6e43cb2da"
      },
      "execution_count": 44,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.9166666666666665"
            ]
          },
          "metadata": {},
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Reshaping e Transpose"
      ],
      "metadata": {
        "id": "vJLC8xA7Mg5b"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xUJGEk7WNGkH",
        "outputId": "9caca253-86e4-4ca5-eab8-0009631889d6"
      },
      "execution_count": 45,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TLhqlsdlNK5p",
        "outputId": "d9040df5-14a0-4e03-fac6-52265334b491"
      },
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2, 3)"
            ]
          },
          "metadata": {},
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2 + a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 168
        },
        "id": "Xh_I2P0jNONZ",
        "outputId": "573975bf-2dfa-42ad-eb1c-0482ee80cdbb"
      },
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "error",
          "ename": "ValueError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-47-7e0cfe75ff3f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ma2\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0ma3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (2,3) (2,3,3) "
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.reshape(2, 3, 1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "j47oYQrwNUtv",
        "outputId": "4db6fd72-81f3-4095-bbe1-59ea8e7ad5f0"
      },
      "execution_count": 48,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[4],\n",
              "        [5],\n",
              "        [6]],\n",
              "\n",
              "       [[7],\n",
              "        [8],\n",
              "        [9]]])"
            ]
          },
          "metadata": {},
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.reshape(2, 3, 1) + a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-IfNa68GNerN",
        "outputId": "3a27b3d8-c156-4cbd-b6c1-edd51044d86f"
      },
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 5,  6,  7],\n",
              "        [ 9, 10, 11],\n",
              "        [13, 14, 15]],\n",
              "\n",
              "       [[17, 18, 19],\n",
              "        [21, 22, 23],\n",
              "        [25, 26, 27]]])"
            ]
          },
          "metadata": {},
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.T"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4X-l9FqAMnQ-",
        "outputId": "87418d0c-2d8d-45b1-eaf2-b597af0390b9"
      },
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 7],\n",
              "       [5, 8],\n",
              "       [6, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8vWjCpVEMsLZ",
        "outputId": "ed370705-1ce3-4046-f60a-6eda7afe416a"
      },
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2, 3)"
            ]
          },
          "metadata": {},
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.T.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pxGQmy7YM3LT",
        "outputId": "701478fd-70eb-4e8d-9664-fce8d8cd9be2"
      },
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Operadores de comparação e ordenação de arrays"
      ],
      "metadata": {
        "id": "GWi8zLgqRCWq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vCFRAPzBNCXm",
        "outputId": "5bf8c0b9-207e-4288-ad20-18d59aa769c9"
      },
      "execution_count": 53,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "twtWa-G4RIRH",
        "outputId": "5836d901-6fb2-4287-95d2-5df52a6c9bb6"
      },
      "execution_count": 54,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 54
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 > a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MY7jyXQ1RIxI",
        "outputId": "f51fe7ec-2a07-4164-fcb7-82d69a7c54c1"
      },
      "execution_count": 55,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[False, False, False],\n",
              "       [False, False, False]])"
            ]
          },
          "metadata": {},
          "execution_count": 55
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 <= a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gGw92eT6RKgt",
        "outputId": "97590295-fae8-4575-a08a-627aeaa64e85"
      },
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ True,  True,  True],\n",
              "       [ True,  True,  True]])"
            ]
          },
          "metadata": {},
          "execution_count": 56
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 > 5"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qltMW9fjRMrW",
        "outputId": "f3248b21-bfaa-4a84-9b7f-3f9f3364b83a"
      },
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([False, False, False])"
            ]
          },
          "metadata": {},
          "execution_count": 57
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 == a1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cKQ462GOROlM",
        "outputId": "a0268188-5b04-472a-f8dc-4bcde700856e"
      },
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ True,  True,  True])"
            ]
          },
          "metadata": {},
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1 == a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KTnDCwX3RQXu",
        "outputId": "460707cc-3535-4202-cdbb-c319f6455145"
      },
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[False, False, False],\n",
              "       [False, False, False]])"
            ]
          },
          "metadata": {},
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "random_1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wQ-z0q9jRSSn",
        "outputId": "51f0fcbe-648d-4e92-9251-50044b9ea2dd"
      },
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 2, 9],\n",
              "       [3, 1, 7],\n",
              "       [4, 3, 7],\n",
              "       [1, 8, 2],\n",
              "       [1, 8, 7]])"
            ]
          },
          "metadata": {},
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.sort(random_1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "m_SFmYFISNnJ",
        "outputId": "f8cd4a3a-c3c1-437c-f43a-a4a2229a953e"
      },
      "execution_count": 61,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 2, 9],\n",
              "       [1, 3, 7],\n",
              "       [3, 4, 7],\n",
              "       [1, 2, 8],\n",
              "       [1, 7, 8]])"
            ]
          },
          "metadata": {},
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.argsort(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "njdvAAwNSkEs",
        "outputId": "10487a5a-5692-417b-d409-0894a7e22cd7"
      },
      "execution_count": 62,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2])"
            ]
          },
          "metadata": {},
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.argmin(a1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ms6dJx_7Ss8u",
        "outputId": "e83d632a-52da-43f2-f502-51fe61a35e54"
      },
      "execution_count": 63,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0"
            ]
          },
          "metadata": {},
          "execution_count": 63
        }
      ]
    }
  ]
}