Verify the transpose multiplication on matrix — task. Mathematics State Board, Class 10.

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${(AB)}^T = B^T A^T$ if

$A =\begin{bmatrix} 6 & 9 & 4\\ 10 & 2 & 3 \end{bmatrix}, B = \begin{bmatrix} 5 & 4\\ 13 & 6\\ 2 & 6 \end{bmatrix}$

$AB$ 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	$=$ $[\begin{array}{l} i & i \\ i & i \end{array}]$

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9. Verify the transpose multiplication on matrix