Category:Cofactor Matrices
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This category contains results about Cofactor Matrices.
Definitions specific to this category can be found in Definitions/Cofactor Matrices.
Let $\mathbf A = \sqbrk a_n$ be a square matrix of order $n$.
Let $A_{r s}$ denote the cofactor of the element whose indices are $\tuple {r, s}$.
The cofactor matrix of $\mathbf A$ is the square matrix of order $n$:
$\quad \mathbf C = \begin {bmatrix} A_{1 1} & A_{1 2} & \cdots & A_{1 n} \\ A_{2 1} & A_{2 2} & \cdots & A_{2 n} \\ \vdots & \vdots & \ddots & \vdots \\ A_{n 1} & A_{n 2} & \cdots & A_{n n} \\ \end {bmatrix}$
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