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Linear Algebra with SageMath Learn math with open-source software

Section 8.1 Adjugate Matrix

For a matrix \(A\text{,}\) the adjugate matrix is the transpose of its cofactor matrix \(C\text{,}\) \(adj(A)=C^T\text{.}\)
The cofactor matrix is based on cofactors and minors. Sage does not have methods to calculate cofactors and minors, but it can directly calculate the adjugate matrix.
In Sage, the adjugate() method returns the adjugate matrix.
In the next sections, we will explore how to compute step by step the minors, cofactors, and then the adjugate matrix.