enhancedmath/lib/Matrix/determinant.js

This package contains some enhanced mathematical operations

import { getDimensions, getMatrixMinor } from '../Helpers/index';
/**
 * Recursively calculate the determinant of a matrix, making use of the minor matrix
 * @param matrix The matrix
 * @returns The determinant of the matrix
 */
const determinant = (matrix) => {
    const { rows, cols } = getDimensions(matrix);
    if (rows !== cols) {
        return undefined;
    }
    if (rows === 1) {
        return matrix[0][0];
    }
    if (rows === 2) {
        return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0];
    }
    else {
        let det = 0;
        for (let i = 0; i < matrix.length; i++) {
            const sign = Math.pow(-1, i);
            const factor = matrix[0][i];
            const minorMatrix = getMatrixMinor(matrix, 0, i);
            det += sign * factor * determinant(minorMatrix);
        }
        return det;
    }
};
export default determinant;