About the Matrix Inverse Calculator
Find the inverse of a square matrix with Gauss–Jordan elimination, and check whether it is singular.
Also known as: inverse matrix, invert matrix, a inverse, 3x3 inverse.
How to use this calculator
- Enter matrix a (rows on new lines).
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
A·A⁻¹ = I
Worked example
Using the values pre-filled in the calculator above:
- Matrix A (rows on new lines): 1 2 3 0 1 4 5 6 0
the calculator returns:
- A⁻¹: [ -24 18 5 ] [ 20 -15 -4 ] [ -5 4 1 ]
- det(A): 1