matrx-js

matrx-js is an npm package that provides matrix operations for any dimension matrix. It provides methods to calculate the determinant using the adjoint and inverse, as well as a method to format a matrix as a string.

Installation

To use matrx-js, install it via npm:

npm install matrx-js

Usage

To use matrx-js, import it in your code:

const matrixOps = require('matrx-js');

determinant(matrix)

Calculates the determinant of a matrix using cofactor expansion.

Parameters

matrix (Array): An array representing the matrix.

Returns

(Number): The determinant of the matrix.

Example

const matrix = [[1, 2], [3, 4]];
const determinant = matrixOps.determinant(matrix);
console.log(determinant); // Output: -2

adjoint(matrix)

Calculates the adjoint of a matrix.

Parameters

matrix (Array): An array representing the matrix.

Returns

(Array): An array representing the adjoint of the matrix.

Example

const matrix = [[1, 2], [3, 4]];
const adjoint = matrixOps.adjoint(matrix);
console.log(adjoint); // Output: [[4, -2], [-3, 3]]

inverse(matrix)

Calculates the inverse of a matrix using the adjoint. (Using '@mathematics/fraction' for fractions).

Parameters

matrix (Array): An array representing the matrix.

Returns

(Array): An array representing the inverse of the matrix.

Example

const matrix = [[1, 2], [3, 4]];
const inverse = matrixOps.inverse(matrix);
console.log(inverse); // Output: [[-2, 1], [3/2, -3/2]]

formatMatrix(matrix)

Formats a matrix as a string.

Parameters

matrix (Array): An array representing the matrix.

Returns

(String): A string representing the matrix.

Example

const matrix = [[1, 2], [3, 4]];
const formattedMatrix = matrixOps.formatMatrix(matrix);
console.log(formattedMatrix);
// Output:
// |1  2|
// |3  4|

File Structure

The matrx-js package consists of the following files:

adjoint.js: Contains the code to calculate the adjoint of a matrix. determinant.js: Contains the code to calculate the determinant of a matrix using the adjoint. formatMatrix.js: Contains the code to format a matrix as a string. inverse.js: Contains the code to calculate the inverse of a matrix using the adjoint. index.js: The main file that exports the matrix operations functions.

Conclusion

matrx-js provides a simple way to perform matrix operations using JavaScript. It supports matrices of any dimension and includes methods to calculate the determinant using the adjoint and inverse, as well as a method to format a matrix as a string.