Unlock the power of linear algebra with our free online Cofactor Matrix Calculator. Quickly find the cofactor matrix for any square matrix, a crucial step for calculating determinants and inverse matrices. Ideal for students, educators, and professionals looking to simplify complex matrix operations.
Formula:
The cofactor Cij of an element aij in a matrix is calculated using the formula:
Cij = (-1)(i+j) ⋅ Mij
- i: The row number of the element.
- j: The column number of the element.
- Mij: The minor of the element aij. This is the determinant of the submatrix formed by removing the i-th row and j-th column from the original matrix.
The Cofactor Matrix is the matrix whose elements are the cofactors Cij of the original matrix elements.