CBSE 2025 · Region 6 · Set 2 · Q26 · 3 marks
If $\displaystyle \mathrm{A}=\left[\begin{array}{lll}1 & -1 & 0\end{array}\right], \mathrm{B}=\left[\begin{array}{rrr}2 & 0 & 1 \\ -1 & 3 & 4 \\ 0 & 5 & 1\end{array}\right]$ and $\displaystyle \mathrm{C}=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]$, are three matrices, then find ABC .
Marking-scheme solution
\[\text { Required product }=\left[\begin{array}{lll}
2+1+0 & 0-3+0 & 1-4+0
\end{array}\right]\left[\begin{array}{l}
2 \\
3 \\
4
\end{array}\right]
\]
\[=\left[\begin{array}{lll}
3 & -3 & -3
\end{array}\right]\left[\begin{array}{l}
2 \\
3 \\
4
\end{array}\right]
\]
\[=[-15]
\]
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