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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
MCQ
Construct a $2 \times 2$ matrix whose elements ajj are given by $a j j=2 i+j$ :
  • A
    $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$
  • B
    $\left[\begin{array}{ll}2 & 3 \\ 4 & 5\end{array}\right]$
  • ✓
    $\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$
  • D
    $\left[\begin{array}{ll}4 & 5 \\ 6 & 7\end{array}\right]$
✓

Answer

Correct option: C.
$\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$
(c) $\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$
Explanation:
Here, $a j j=2 i+j$
$\begin{array}{l}a_{11}=2(1)+1=2+1=3 \\ a_{12}=2(1)+2=2+2=4 \\ a_{21}=2(2)+1=4+1=5 \\ a_{22}=2(2)+2=4+2=6\end{array}$
So, the matrix is $\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$

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