LinearAlgebra 1.4.1

Tools for working with matrices and vectors.

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.