Cofactor Expansion Calculator
This cofactor expansion calculator shows you how to find the determinant of a matrix using the method of cofactor expansion (a.k.a. Laplace's expansion).
Determinant-3the cofactor expansion of the first row
Size3×3
A × adj(A)det(A) × Iwhich is why A⁻¹ = adj(A) / det(A)
Invertible?Yes
Cofactor matrix
| 2 | 2 | -3 |
| 4 | -11 | 6 |
| -3 | 6 | -3 |
Adjugate (adjoint)
| 2 | 4 | -3 |
| 2 | -11 | 6 |
| -3 | 6 | -3 |
The method
Cᵢⱼ = (−1)^(i+j) × the minor; adj(A) = Cᵀ