Cofactor Matrix Calculator

Find the cofactor matrix of a 2x2 or 3x3 matrix. Each entry is the signed minor: plus or minus the determinant of the submatrix that remains after deleting row i and column j.

Frequently Asked Questions

What is a cofactor?

The signed determinant of the submatrix you get after deleting one row and one column. It carries a sign from the (-1) to the power i plus j pattern.

Cofactor versus minor?

The minor is the unsigned determinant; the cofactor multiplies the minor by (-1) to the power i plus j to add the sign.

How are cofactors used?

Laplace expansion of the determinant sums entries times their cofactors along a row or column. The adjugate (transpose of the cofactor matrix) appears in the closed-form inverse.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.