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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
MCQ
If $\left[\begin{array}{cc}x-2 y & 5 \\ 3 & y\end{array}\right]=\left[\begin{array}{cc}6 & 5 \\ 3 & -2\end{array}\right]$ then the value of $x$ is
  • A
    $-2$
  • B
    $0$
  • C
    1
  • ✓
    2
✓

Answer

Correct option: D.
2
$
\left[\begin{array}{cc}
x-2 y & 5 \\
3 & y
\end{array}\right]=\left[\begin{array}{cc}
6 & 5 \\
3 & -2
\end{array}\right]
$
Comparing, we get
$
y=-2
$
and
$
\begin{aligned}
& x-2 y=6 \\
& \Rightarrow x-2 x(-2)=6 \\
& \Rightarrow x+4=6 \\
& \Rightarrow x=6-4=2
\end{aligned}
$

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