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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]2 Marks
Question
If $A=\left[\begin{array}{ll}6 & 5 \\ 5 & 6\end{array}\right]$ and $B=\left[\begin{array}{cc}11 & 0 \\ 0 & 11\end{array}\right]$ then find $A^{\prime} B^{\prime}$
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Answer

$\begin{array}{l}A^{\prime} B^{\prime}=\left[\begin{array}{ll}6 & 5 \\ 5 & 6\end{array}\right]^{\prime}\left[\begin{array}{cc}11 & 0 \\ 0 & 11\end{array}\right]^{\prime} \end{array}$
$ =\left[\begin{array}{ll}6 & 5 \\ 5 & 6\end{array}\right]\left[\begin{array}{cc}11 & 0 \\ 0 & 11\end{array}\right] $
$ =\left[\begin{array}{ll}66+0 & 0+55 \\ 55+0 & 0+66\end{array}\right] $
$ =\left[\begin{array}{ll}66 & 55 \\ 55 & 66\end{array}\right]$

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