@kanaries/ml
API Reference/Algebra

Algebra Utilities

Use lightweight linear algebra helpers from the @kanaries/ml Algebra JavaScript and TypeScript implementation in browser and Node.js applications.

Algorithm overview

The Algebra module contains small matrix helpers used by the library and useful in application-level numeric code: transposition, Gaussian elimination, identity matrices, matrix augmentation, determinants, cofactors, and elementary matrix inverse.

JavaScript implementation

@kanaries/ml exports these helpers under Algebra, so simple linear algebra operations can run in browser or Node.js without another dependency.

Quick start example

import { Algebra } from '@kanaries/ml';

const X = [[1, 2], [3, 4]];
const XT = Algebra.transpose(X);
const determinant = Algebra.det(X);
const inverse = Algebra.Inverse.elementary(X);

Detailed API reference

Algebra.transpose(matrix: number[][]): number[][]
Algebra.identityMatrix(A: number[][]): number[][]
Algebra.augmentMatrix(matrix: number[][], expanded: number[][]): number[][]
Algebra.gaussianElimination(A: number[][]): number[][] | false
Algebra.cofactorMatrix(matrix: number[][], minorRowIndex: number, minorColIndex: number): number[][]
Algebra.det(matrix: number[][]): number
Algebra.Inverse.elementary(A: number[][]): number[][] | false

det requires a non-empty square matrix. Inverse and elimination helpers return false when the matrix cannot be reduced with the available pivot logic.