Linear Algebra Library

This repository contains a linear algebra library implemented in Moonbit. The library provides various matrix operations such as addition, subtraction, multiplication, determinant calculation, and matrix inversion.

Features

• Matrix Addition: Add two matrices of the same dimensions.
• Matrix Subtraction: Subtract one matrix from another of the same dimensions.
• Matrix Multiplication: Multiply two matrices with compatible dimensions.
• Determinant Calculation: Compute the determinant of a square matrix.
• Matrix Inversion: Compute the inverse of a non-singular square matrix.
• Matrix Transposition: Transpose a given matrix.
• Scalar Multiplication: Multiply each element of a matrix by a scalar.
• Trace Calculation: Compute the trace of a square matrix.
• Dot Product: Calculate the dot product of two matrices of the same shape.
• Identity Matrix: Create an identity matrix of a given size.
• Diagonal Matrix: Create a diagonal matrix from a given array.
• Zero Matrix: Create a matrix filled with zeros.

Usage

Matrix Addition

let a = new_matrix([[1.0, 2.0], [3.0, 4.0]])
let b = new_matrix([[5.0, 6.0], [7.0, 8.0]])
let c = a + b

Matrix Inversion

let mat = new_matrix([[4.0, 7.0], [2.0, 6.0]])
let inverse = mat.inv()

Determinant Calculation

let m = new_matrix([[1.0, 2.0], [3.0, 4.0]])
let determinant = m.det()

Examples

Matrix Multiplication

let a = new_matrix([[1.0, 2.0], [3.0, 4.0]])
let b = new_matrix([[2.0, 0.0], [1.0, 2.0]])
let c = a * b

Transpose

let m = new_matrix([[1, 2], [3, 4]])
let mt = m.transpose()

Scalar Multiplication

let m = new_matrix([[1.0, 2.0], [3.0, 4.0]])
let scaled = m.k(2.0)

License

This project is licensed under the Apache-2.0 License.

Contributing

Contributions are welcome! Please open an issue or submit a pull request.

Contact

For any questions or suggestions, please contact [[email protected]].