TryInverse()

bool constexpr SRL::Math::Types::Matrix33::TryInverse ( Matrix33 & out ) const

inlineconstexprinherited

Attempt to compute the inverse of the matrix.

Computes the inverse matrix if possible. A matrix is invertible if and only if its determinant is non-zero. The inverse of a transformation matrix represents the opposite transformation.

The inverse is computed using the adjugate matrix method:

1. Calculate the determinant
2. If determinant is non-zero:
   • Compute the matrix of cofactors
   • Transpose to get the adjugate matrix
   • Multiply by 1/determinant

Parameters

out	The resulting inverse matrix if successful.

Returns

True if matrix was invertible (det ≠ 0), false otherwise.

Note

For orthogonal matrices (like pure rotation matrices), the inverse is equal to the transpose.

Matrix33 transform = Matrix33::CreateRotationY(Angle::FromDegrees(45));
Matrix33 inverse;
if (transform.TryInverse(inverse)) {
    // inverse * transform ≈ Identity
}