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

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Check ${(AB)}^T = B^T A^T$ if $A =\begin{bmatrix}
5 & 10 & 3\\
10 & 4 & 3
\end{bmatrix}, B = \begin{bmatrix}
7 & 2\\
12 & 4\\
1 & 5
\end{bmatrix}$

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

9. Verify the transpose multiplication on matrix