Inverse Matrix

To inverse matrices, you can use the m2Inverse, m3Inverse, or mInverse functions. Each function supports an optional decimalPlaces parameter. If matrix is not invertible, the functions return null.

2x2 matrix

import { Matrix2, m2Inverse } from 'mz-math';

const m2x2: Matrix2 = [
  [3, 5],
  [-7, 2],
];

const inverted: Matrix2|null = m2Inverse(m2x2, 3); // round to 3 decimal places
/*
[
    [0.049, -0.122],
    [0.171, 0.073],
]
 */

3x3 matrix

import { Matrix3, m3Inverse } from 'mz-math';

const m3x3: Matrix3 = [
  [-1, -2, 2],
  [2, 1, 1],
  [3, 4, 5]
];

const inverted: Matrix3|null = m3Inverse(m3x3, 2); // round to 2 decimal places
/*
[
    [0.04, 0.78, -0.17],
    [-0.30, -0.48, 0.22],
    [0.22, -0.09, 0.13]
]
 */

3x3 matrix or above

import { Matrix, mInverse } from 'mz-math';

const m4x4: Matrix = [
  [1, 1, 1, -1],
  [1, 1, -1, 1],
  [1, -1, 1, 1],
  [-1, 1, 1, 1],
];

const inverted: Matrix|null = mInverse(m4x4); 
/*
[
    [0.25, 0.25, 0.25, -0.25],
    [0.25, 0.25, -0.25, 0.25],
    [0.25, -0.25, 0.25, 0.25],
    [-0.25, 0.25, 0.25, 0.25],
]
 */