Math.matrix

Support for matrices in JavaScript.

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

const determinant = Math.matrix.det(M);
// -2

Functions

Operations

• add(A,B) - performs addition of matrices $A$ and $B$
• sub(A,B) - performs subtraction of matrices $A$ and $B$
• mul(A,B) - performs multiplication of matrices $A$ and $B$
• mulByScalar(M,k) - performs multiplication of a matrix $M$ by a scalar value $k$
• transpose(M) - performs transposition of a matrix $M$

Properties

• det(M) - returns the determinant of a matrix $M$
• order(M) - returns the order of a matrix $M$
• trace(M) - returns the trace of a matrix $M$
• cofactor(M,i,j) - returns a cofactor for element $a_{ij}$ in a matrix $M$
• cofactorMatrix(M) - returns the cofactor matrix for a matrix $M$
• adjointMatrix(M) - returns the adjoint matrix for a matrix $M$
• inverseMatrix(M) - returns the inverse matrix for a matrix $M$

Minors

• minorMatrix(M) - returns the minor matrix for a matrix $M$
• minor(M,i,j) - returns a minor for element $a_{ij}$ in a matrix $M$
• minorize(M,i,j) - returns a matrix $M$ with i-th row and j-th column removed

Creating a Matrix

• initNullMatrix(m,n) - creates a null matrix of order $m\times n$
• initScalarMatrix(n,k=1) - creates a scalar matrix of order $n\times n$ with a scalar value $k$ on the diagonal
• initIdentityMatrix(n) - creates an identity matrix of order $n\times n$

Altering a Matrix

• removeRow(M,i) - returns a matrix $M$ with i-th row removed
• removeColumn(M,j) - returns a matrix $M$ with j-th column removed
• insertRow(M,i,row) - returns a matrix $M$ with additional row inserted just before i-th row
• insertColumn(M,j,column) - returns a matrix $M$ with additional column inserted just before j-th column
• swapRows(M,m,n) - returns a matrix $M$ with m-th and n-th rows swapped
• swapColumns(M,m,n) - returns a matrix $M$ with m-th and n-th columns swapped
• getRow(M,i) - returns i-th row of a matrix $M$
• getColumn(M,j) - returns j-th column of a matrix $M$

Testing

• isSquare(M) - checks if a matrix $M$ is the square matrix
• isEqual(A,B) - checks if a matrix $A$ is equal to a matrix $B$