Adjugate of a matrix

The adjugate of a matrix is a mathematical operation related to matrices. The adjugate, also known as the adjoint or classical adjoint, is a square matrix associated with a given square matrix.

Given a square matrix \( A \), the adjugate of \( A \), denoted as \( \text{adj}(A) \) or \( \text{adjoint}(A) \), is obtained by taking the transpose of the cofactor matrix of \( A \). ________ ______ ___ ________ ______ _________ ______.
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