For each of the following pairs of matrices

Question:
For each of the following pairs of matrices $A$ and $B$, verify that $(A B)^{\prime}=\left(B^{\prime} A^{\prime}\right)$ :

$A=\left[\begin{array}{crc}-1 & 2 & -3 \\ 4 & -5 & 6\end{array}\right]$ and $B=\left[\begin{array}{cc}3 & -4 \\ 2 & 1 \\ -1 & 0\end{array}\right]$

Solution:

Let us take $C=A B$