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Cofactor
Linked via "transpose"
Relationship to the Adjugate Matrix
The matrix of cofactors, $\mathbf{C}$, where the entry in the $i, j$ position is $C_{ij}$, is vital for finding the adjugate matrix, $\text{adj}(\mathbf{A})$. The adjugate is defined as the transpose of the cofactor matrix:
$$ \text{adj}(\mathbf{A}) = \mathbf{C}^T $$