If A is a square matrix,
Question:

If $A$ is a square matrix, then write the matrix adj $\left(A^{T}\right)-(\operatorname{adj} A)^{T}$.

Solution:

In a non – singular matrix, adj $A^{T}=(\operatorname{adj} A)^{T}$.

$\Rightarrow\left(\operatorname{adj} \mathrm{A}^{\mathrm{T}}\right)-(\operatorname{adj} \mathrm{A})^{\mathrm{T}}=$ Null matrix