Inverts a Matrix4 by Gauss-Jordan elimination with partial pivoting, returning (success, result). Fails only when a pivot is exactly zero (singular), giving the identity as result. Nearly singular matrices succeed with a large error.
t := make_translation_matrix4(xyz(1, 2, 3));
ok, inv := inverse_gaussian_elimination(t);
assert(ok && inv * t == Matrix4_Identity);inverse_gaussian_elimination :: (m: Matrix4) -> (success: bool, result: Matrix4)The inverse by Gauss-Jordan elimination with row pivoting. False and the identity when there is none.
Parameters
- m: Matrix4
- the matrix.
Returns
- success: bool
- result: Matrix4