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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
MCQ
If $\left[\begin{array}{cc}x+2 y & -y \\ 3 x & 7\end{array}\right]=\left[\begin{array}{cc}-4 & 3 \\ 6 & 4\end{array}\right]$ then the values of $x$ and $y$ are
  • A
    $x=2, y=3$
  • ✓
    $x=2, y=-3$
  • C
    $x=-2, y=3$
  • D
    $x=3, y=2$
✓

Answer

Correct option: B.
$x=2, y=-3$
$
\left[\begin{array}{cc}
x+2 y & -y \\
3 x & 7
\end{array}\right]=\left[\begin{array}{cc}
-4 & 3 \\
6 & 4
\end{array}\right]
$
Comparing, we get
$
\begin{aligned}
& 3 x =6 \\
& \Rightarrow=2 \\
& \Rightarrow- y =3 \\
& \Rightarrow y =-3 \\
& x =2, y =-3
\end{aligned}
$

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