Matrix Inverse Calculator
Inverse of a 2×2 matrix [[a, b], [c, d]].
Worth Knowing
The inverse of a matrix undoes what the matrix does, and it exists only when the determinant is nonzero — a singular matrix collapses information that can't be recovered, much like you can't unmultiply by zero. For a 2×2 matrix the inverse has a tidy closed form involving the determinant; larger matrices need more work. Inverses solve linear systems in one step, though in practice numerical methods often avoid computing them directly for stability.
How to Use
- Enter a into the first field of the Matrix Inverse Calculator.
- Fill in the rest: b, c, d.
- Your result appears instantly as you type — there's no submit button or page reload.