AlgebraFree

Cofactor Matrix Calculator

Compute the cofactor matrix for a 3x3 matrix using the alternating sign pattern. Returns the full cofactor matrix.

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Formula

C_{ij} = (-1)^(i+j) M_{ij}

Each cofactor is the signed minor determinant for that position. The sign pattern alternates like a checkerboard.

Worked Example

Enter a 3x3 matrix. The calculator returns the cofactor matrix.

Frequently Asked Questions

What is a minor?

A minor Mij is the determinant of the matrix formed by removing row i and column j.

How is cofactor matrix used?

The adjoint matrix is the transpose of the cofactor matrix and is used in inverse calculations.

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