plainas / ualgebra.js

A small javascript linear algebra library

ualgebra.js is a tiny javascript linear algebra library. It contains numerical implementations of basic matrix operations.

Keep in mind that this this contains only numerical implementations. There's no type checking of any kind nor suport for rational numbers. This is not a symbolic calculus tool either.

Usage

The functions accept matrices as two dimentional arrays. A matrix is represented as an array of lines, a line is simply an array.

examples

M = [[1,2],[3,4]];

// transpose
T = transposeMatrix(M); //returns [[1,3],[2,4]]

// inverse
inverseMatrix(M); // returns [[-2,-1],[-1.5,-0.5]]

// determinant
determinant(M); //returns -2

// cofactors
cofactorMatrix(M); //returns [[4,3],[2,1]]


// element-by-element operations
//first parameter must be a function that accepts two paremeters
//this can be used for example to sum matrices:
N = [[1,1],[1,1]];
dotOp(function(a,b){return a+b;},M,N); //returns [[2,3],[4,5]]


// basic aritmetic matrix operations

// matrix product
matrixMultiply(M,N) //returns [[3,3],[7,7]]

// scalar-matrix product
matrixScalarMultiply(M,2) //returns [[2,4],[6,8]]


// Matrix generation utilities

zeros(3,5); //returns [[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0]]

ones(3,3); //returns [[1,1,1],[1,1,1],[1,1,1]]

identity(4); //returns [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]