Linear Algebra
Matrix Determinant Calculator
Paste a square matrix and instantly obtain its determinant using Gaussian elimination.
determinantmatrixlinear algebra
Matrix Determinant
Compute the determinant of a square matrix up to 6×6.
Order
3 × 3
Determinant
22
Determinant via LU decomposition
Row operations reduce the matrix to upper triangular form while tracking row swaps to assemble the determinant.
How to use
- Enter the matrix with each row on its own line.
- Separate entries with spaces or commas.
- Review the determinant and matrix order beneath the input.
Example
Input: 1 2 3\n0 4 5\n1 0 6
Output: det(A) = 22
FAQ & notes
What size matrices are supported?
Any square matrix up to 6×6 for numerical stability. Larger matrices may suffer from floating-point rounding errors.
Can I detect singular matrices?
Yes—if the determinant is zero, the matrix is singular and does not have an inverse.