Question:
For each of the following pairs of matrices $A$ and $B$, verify that $(A B)^{\prime}=\left(B^{\prime} A^{\prime}\right)$ :
$A=\left[\begin{array}{ll}1 & 3 \\ 2 & 4\end{array}\right]$ and $B=\left[\begin{array}{ll}1 & 4 \\ 2 & 5\end{array}\right]$
Solution: