Definition:Adjugate Matrix

Definition
Let $\mathbf A = \sqbrk a_n$ be a square matrix of order $n$.

Let $\mathbf C$ be its cofactor matrix.

The adjugate matrix of $\mathbf A$ is the transpose of $\mathbf C$:
 * $\adj {\mathbf A} = \mathbf C^\intercal$

Also see

 * Matrix Product with Adjugate Matrix