Cofactor of an Element

Rarely Tested

Cofactor of an Element

## Formula

The cofactor of $$a_{ij}$$ is:

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

## Sign Pattern

$$\begin{bmatrix}+&-&+\\-&+&-\\+&-&+\end{bmatrix}$$

## Usage

- Used in determinant expansion and calculation of the adjoint and inverse.

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