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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
MCQ
If $A=\left[\begin{array}{l}5 \\ 4\end{array}\right], B=\left[\begin{array}{l}2 \\ 0\end{array}\right]$ and matrix $C=2 A+B$, then the matrix $C$ is:
  • ✓
    $\left[\begin{array}{c}12 \\ 8\end{array}\right]$
  • B
    $\left[\begin{array}{c}12 \\ 4\end{array}\right]$
  • C
    $\left[\begin{array}{l}7 \\ 4\end{array}\right]$
  • D
    $\left[\begin{array}{l}8 \\ 8\end{array}\right]$
✓

Answer

Correct option: A.
$\left[\begin{array}{c}12 \\ 8\end{array}\right]$
(a) $\left[\begin{array}{c}12 \\ 8\end{array}\right]$
Explanation:
C=2 A+B
$\begin{array}{l}=2\left[\begin{array}{l}5 \\ 4\end{array}\right]+\left[\begin{array}{l}2 \\ 0\end{array}\right]=\left[\begin{array}{c}10 \\ 8\end{array}\right]+\left[\begin{array}{l}2 \\ 0\end{array}\right] \\ =\left[\begin{array}{r}10+2 \\ 8+0\end{array}\right]=\left[\begin{array}{c}12 \\ 8\end{array}\right]\end{array}$

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