5. Verify the transpose multiplication on matrix

Check ${(AB)}^T = B^T A^T$ if $A =\begin{bmatrix}
5 & 8 & 2\\
8 & 4 & 2
\end{bmatrix}, B = \begin{bmatrix}
8 & 3\\
13 & 7\\
3 & 6
\end{bmatrix}$

$AB$ matrix	$=$ $[\begin{array}{l} i & i \\ i & i \end{array}]$
${(AB)}^T$ matrix	$=$ $[\begin{array}{l} i & i \\ i & i \end{array}]$
$B^T$ matrix	$=$ $[\begin{array}{l} i & i & i \\ i & i & i \end{array}]$
$A^T$ matrix	$=$ $[\begin{array}{l} i & i \\ i & i \\ i & i \end{array}]$
$B^T A^T$ matrix	$=$ $[\begin{array}{l} i & i \\ i & i \end{array}]$

Did you find an error?

\(AB\) matrix	\(=\) $[\begin{array}{l} i & i \\ i & i \end{array}]$
\({(AB)}^T\) matrix	\(=\) $[\begin{array}{l} i & i \\ i & i \end{array}]$
\(B^T\) matrix	\(=\) $[\begin{array}{l} i & i & i \\ i & i & i \end{array}]$
\(A^T\) matrix	\(=\) $[\begin{array}{l} i & i \\ i & i \\ i & i \end{array}]$
\(B^T A^T\) matrix	\(=\) $[\begin{array}{l} i & i \\ i & i \end{array}]$