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Defined for an $n \times n$ matrix at an index $(i, j)$ in terms of the minor at that index as ${(- 1)}^{i + j} M_{i j}$ where the minor is $M_{i j}$ .

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$