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kls2177 committed Nov 21, 2023
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2 changes: 1 addition & 1 deletion _sources/chapters/Week7/eig.ipynb
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"In the previous section, we looked at how to construct the covariance matrix, **C**. Recall that **C** is defined as follows:\n",
"\n",
"$$\n",
"\\mathbf{C} = \\frac{1}{M-1} \\mathbf{X^TX}\n",
"\\mathbf{C} = \\frac{1}{M-1} \\mathbf{X^T X}\n",
"$$\n",
"\n",
"where **X** is size [*M x N*] and **C** is size [*N x N*].\n",
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6 changes: 3 additions & 3 deletions chapters/Week7/eig.html
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Expand Up @@ -435,7 +435,7 @@ <h1>Eigenanalysis<a class="headerlink" href="#eigenanalysis" title="Permalink to
<p>In the previous section, we looked at how to construct the covariance matrix, <strong>C</strong>. Recall that <strong>C</strong> is defined as follows:</p>
<div class="math notranslate nohighlight">
\[
\mathbf{C} = \frac{1}{M-1} \mathbf{X^TX}
\mathbf{C} = \frac{1}{M-1} \mathbf{X^T X}
\]</div>
<p>where <strong>X</strong> is size [<em>M x N</em>] and <strong>C</strong> is size [<em>N x N</em>].</p>
<p>Principal Component Analysis (PCA) consists of an <strong>eigenanalysis</strong> of C. So, now we need to familiarize ourselves with eigenanalysis, the process of finding the eigenvalues and eigenvectors of a matrix.</p>
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</div>
</details>
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<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x112289030&gt;
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</div>
</details>
<div class="cell_output docutils container">
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x11237e3b0&gt;
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x1139e23b0&gt;
</pre></div>
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<img alt="../../_images/de6ed938a164ee32b6f853d027cd7011bedeb9351f5f87651c59199d6d6d943b.png" src="../../_images/de6ed938a164ee32b6f853d027cd7011bedeb9351f5f87651c59199d6d6d943b.png" />
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2 changes: 1 addition & 1 deletion searchindex.js

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