Cofactor Matrix Calculator

The cofactor matrix is a matrix of the same size as the original, where each element is replaced by its corresponding cofactor.

The Process:

• Step 1: Find the Matrix of Minors. For each element in the original matrix, its minor is the determinant of the submatrix that remains after removing that element's row and column.
• Step 2: Find the Matrix of Cofactors. Apply a "checkerboard" pattern of signs to the matrix of minors. The sign for the element at row i, column j is given by (-1)i+j. The sign matrix is: [[+, -, +], [-, +, -], [+, -, +]].

The resulting matrix is the cofactor matrix. The transpose of this matrix is called the Adjoint Matrix.