This is my implementation of the basic linear algebra problems. It covers:

• Matrix addition / subtraction.
• Matrix concatenation / shrinking / extraction.
• Matrix reduction and elimination (Gauss and Gauss-Jordan).
• Determinant calculation using Laplace Expansion method.
• Invertibility and inverses.
• Matrix mirrors.
• Matrix multiplication and powers.
• Transposes.
• Identity matrices.
• Transformation matrices.
• Projection matrices.
• Reflection matrices.
• 2D and 3D rotation matrices.
• 2D and 3D shearing matrices.
• Cloning and equality comparers.

• Vector addition / subtraction.
• Angel between vectors.
• Vector normalization and magnitude calculator.
• Dot product and cross product.
• Vector scaling.
• Projection onto other vectors and subspaces.

I have created raw functions that operate on Array objects and wrapped those functions inside two class objects Matrix and Vector. I have overrided some operators to make it easier for users to perform various operations.

Please feel free to relay your comments, suggestions or corrections.