limachi/matrix

Subject: https://cdn.intra.42.fr/pdf/pdf/113262/en.subject.pdf
Write a series of function to do vectors and matrices operations

References used:

• Linear algebra: https://www.youtube.com/watch?v=kjBOesZCoqc&list=PL0-GT3co4r2y2YErbmuJw2L5tW4Ew2O5B
• Row/Column major order: https://en.wikipedia.org/wiki/Row-_and_column-major_order
• Infinite/Supremum norm: https://en.wikipedia.org/wiki/Uniform_norm
• Abs of complex number: https://www.varsitytutors.com/hotmath/hotmath_help/topics/absolute-value-complex-number
• Approximation of square root using the babylonian method: https://blogs.sas.com/content/iml/2016/05/16/babylonian-square-roots.html
• Cosine of 2 vectors: https://www.geeksforgeeks.org/cosine-similarity/
• Multiplication of matrices/vectors: https://mathinsight.org/matrix_vector_multiplication
• Row-echelon form: https://www.statlect.com/matrix-algebra/row-echelon-form / https://www.wikihow.com/Reduce-a-Matrix-to-Row-Echelon-Form / https://www.emathhelp.net/en/calculators/linear-algebra/reduced-row-echelon-form-rref-calculator/
• Inverse of matrix: https://en.wikipedia.org/wiki/Invertible_matrix / https://www.emathhelp.net/en/calculators/linear-algebra/inverse-of-matrix-calculator/
• Rank of matrix: https://en.wikipedia.org/wiki/Rank_(linear_algebra) / https://www.emathhelp.net/en/calculators/linear-algebra/rank-of-matrix-calculator/

Rust version: rustc 1.77.2

Libraries used:

Completion:

• ex00 add, sub, scl
• ex01 linear combination
• ex02 lerp
• ex03 dot
• ex04 norm
• ex05 cos
• ex06 cross
• ex07 linear map, mat mult
• ex08 trace
• ex09 transpose
• ex10 row echelon form
• ex11 determinant
• ex12 inverse
• ex13 rank
• ex14 projection
• ex15 complex vector spaces

Testing: cargo test