Matrix Creation

vector( n ) — vector of length n initialized to zero

vector( n, value ) — vector of length n initialized to a real value

matrix( n ) — n × n matrix initialized to zero

matrix( n, m ) — n × m matrix initialized to zero

matrix( n, m, value ) — n × m matrix initialized to a real value

identity( n ) — n × n real identity matrix

identity( n, value ) — n × n real identity matrix multiplied by a real value

Basic Functions

matrixAdd( A, B ) — add two real matrices

matrixSub( A, B ) — subtract two real matrices

matrixMul( A, B ) — multiply two real matrices

transpose( A ) — transpose of a real matrix

inverse( A ) — inverse of a real matrix

determinant( A ) — determinant of a real matrix

Linear Algebra

luDecomposition( A ) — LU decomposition of a real matrix returned with permutation matrix and total pivots in { L: L, U: U, P: P, pivots: pivots }

luSolve( A, b ) — solution of the real system Ax = b returned as an array

Eigensystems

eigensystem( A ) — eigenvalues and column eigenvectors of a real symmetric matrix returned as arrays in { eigenvalues: eigenvalues, eigenvectors: eigenvectors }