Tools for working with matrices and vectors.

## Project description

## Overview

This module contains some tools for linear algebra. It contains classes to define matrices and vectors, and a number of functions for working on those matrices and vectors. It is intended for mathematical and scientific use. It saved me a lot of time in a linear algebra class.

## Classes

vector: collection which defines a vector in Cartesian coordinates

matrix: two-dimensional collection stored in row-major order

## Functions

AxApproxB: solves Ax approximately equal to b; for use when the rows of matrix b are not in the column space of A

axpy: ax+y where a is a scalar, and x and y are vectors

bestfit: used to find a line of best fit from given points

colVec: makes a matrix with one column

det: returns the determinant of a square matrix. Can return a cross product if the top row contains the unit vectors.

dot: returns the dot product of two vectors

crossProduct: Returns a cross product

GaussJordan: solves AX=B, where matrices A and B are known and X is returned. If B is not in the column-space of A, use AxApproxB.

identityMatrix: makes an identity matrix of a given size

linearCombination: returns a linear combination based on a list of scalars and a list of vectors

mmMult: matrix-matrix multiplication

mvMult: matrix-vector multiplication

norm: takes the norm of a vector; defaults to 2 (Euclidian norm)

permutationMatrix: makes a permutation matrix based on a given permutation vector

proj: projection of one vector onto another

rowVec: makes a matrix with one row

transpose: transposes a matrix

unitVector: constructs a unit vector

v: wrapper around vector instantiation

zeroMatrix: makes a zero matrix of a given size

zeroVector: makes a zero vector of a given size

## More Information

Help is available in the included help file.

## Project details

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