Check whether a square matrix has an inverse by testing if its determinant is non-zero.
How It Works
How Invertible Matrix Checker Works
A square matrix has an inverse exactly when its determinant is non-zero — the calculator computes the determinant using cofactor expansion and reports whether it's zero or not.
FAQ
Frequently Asked Questions
What does it mean if a matrix has no inverse?
A matrix without an inverse (a "singular" matrix) collapses space in some direction — at least two different input vectors get mapped to the same output, which is why the transformation can't be undone.
Is this the same test as the nonsingular checker on this site?
Yes — invertible and nonsingular describe exactly the same property for a square matrix; both pages exist since people search for the concept under either name.
