Question
If A is a square matrix, then write the matrix adj $(A^T) − (adj A)^T$.

Answer

In a non-singular matrix, $\operatorname{adj} A^{\top}=(\operatorname{adj} A)^{\top}$.
$\Rightarrow\left(\operatorname{adj} A^{\top}\right)-(\operatorname{adj} A)^{\top}=$ Null matrix

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