Question

If \( A=\left[\begin{array}{cc}5 a & -b \\ 3 & 2\end{array}\right] \) and \( A \cdot \operatorname{adj} A=A \cdot A^{T} \) then \( 5 a+b \)

Answer 1

5a=2
b=3

Now,
5a+b=2+3=5