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Model Paper 10 — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSModel Paper 101 Mark
Question
the order of the single matrix obtained from
$\left[\begin{array}{cc}1 & -1 \\ 0 & 2 \\ 2 & 3\end{array}\right]_{3 \times 2}\left\{\left[\begin{array}{ccc}-1 & 0 & 2 \\ 2 & 0 & 1\end{array}\right]_{2 \times 3}-\left[\begin{array}{lll}0 & 1 & 23 \\ 1 & 0 & 21\end{array}\right]_{2 \times 3}\right\}$ is
✓

Answer

$\begin{array}{l} \text { Explanation: }\left[\begin{array}{cc}1 & -1 \\0 & 2 \\2 & 3\end{array}\right]_{3 \times 2}\left\{\left[\begin{array}{ccc}-1 & 0 & 2 \\2 & 0 & 1 \end{array}\right]_{2 \times 3}-\left[\begin{array}{lll}0 & 1 & 23 \\1 & 0 & 21\end{array}\right]_{2 \times 3}\right\} \end{array}$
$=\left[\begin{array}{cc}1 & -1 \\0 & 2 \\2 & 3\end{array}\right]_{3 \times 2}\left[\begin{array}{ccc}-1 & -1 & -21 \\1 & 0 & -20\end{array}\right]_{2 \times 3}$
$=\left[\begin{array}{ccc}-2 & -1 & -1 \\2 & 0 & -40 \\1 & -2 & -102\end{array}\right]_{3 \times 3}$

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