Mat.cpp

A matrix library written in c++ for educational purposes

Todo

Basic Operations:

• Implement matrix creation (e.g., from an array or zeros)
• Implement matrix printing (output in a readable format)
• Implement matrix addition (element-wise)
• Implement matrix subtraction (element-wise)
• Implement matrix scalar multiplication (multiply each element by a constant)
• Implement matrix scalar division (divide each element by a constant)
• Implement matrix transposition (swap rows and columns)
• Implement matrix equality check (compare if two matrices are equal)
• Implement matrix resizing (expand or shrink the matrix)
• Implement matrix determinant calculation (for small square matrices, e.g., 2x2 and 3x3)

Intermediate Operations:

• Implement matrix multiplication (standard matrix product)
• Implement matrix inversion (for invertible square matrices)
• Implement matrix rank (using Gaussian elimination or similar techniques)
• Implement matrix trace (sum of diagonal elements)
• Implement matrix diagonalization (for certain square matrices)
• Implement matrix identity creation (returning an identity matrix of size n)
• Implement matrix row and column operations (e.g., swapping rows/columns, scaling rows/columns)
• Implement Matrix eigen values (for smaller square matrix such as 2 , 3, 4)