3x3 Matrix Calculator
Calculate the determinant, transpose, and inverse of a 3x3 matrix.
Enter all nine values and get instant results.
Matrix Results
3x3 Matrix Operations
For matrix A:
| a b c |
| d e f |
| g h i |
Determinant:
det(A) = a(ei − fh) − b(di − fg) + c(dh − eg)
Transpose: swap rows and columns — element at row i, col j moves to row j, col i.
Inverse (if det ≠ 0):
A⁻¹ = (1 / det(A)) × adj(A)
Where adj(A) is the adjugate (transpose of the cofactor matrix).
A matrix is singular (no inverse) when its determinant is zero.