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

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
If $A=\left[\begin{array}{cc}1 & 2 \\ 3 & -2 \\ -1 & 0\end{array}\right]$ and $B=\left[\begin{array}{ccc}1 & 3 & 2 \\ 4 & -1 & 3\end{array}\right]$ then find the order of $A B$
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Answer

$A=\left[\begin{array}{cc}1 & 2 \\ 3 & -2 \\ 1 & 0\end{array}\right]$ is $3 \times 2$ matrix and $B=\left[\begin{array}{ccc}1 & 3 & 2 \\ 4 & -1 & 3\end{array}\right]$ is $2 \times 3$ matrix
$\therefore AB$ is $3 \times 3$ matrix

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