https://github.com/damianc/math-matrix

Support for matrices in JavaScript.
https://github.com/damianc/math-matrix

Last synced: about 1 month ago
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Support for matrices in JavaScript.

• Host: GitHub
• URL: https://github.com/damianc/math-matrix
• Owner: damianc
• Created: 2024-11-06T03:17:04.000Z (about 2 months ago)
• Default Branch: master
• Last Pushed: 2024-11-06T04:19:15.000Z (about 2 months ago)
• Last Synced: 2024-11-06T04:24:08.761Z (about 2 months ago)
• Language: JavaScript
• Size: 43.9 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# 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 $B$