MCQ
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
  • A
    $2 \times 3$
  • B
    $3 \times 3$
  • C
    $3 \times 2$
  • D
    $2 \times 2$

Answer


(b) $3 \times 3$$
\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\} \\
=\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}
\end{array}
$

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