About the Matrix Determinant Calculator
Compute the determinant of a square matrix of any size using LU decomposition with partial pivoting.
Also known as: determinant calculator, det of matrix, 3x3 determinant, 2x2 determinant.
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
det(A) = product of pivots × (−1)^swaps
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:
- det(A): 1
- Invertible?: Yes