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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If $\left[\begin{array}{cc}2 x+y & 4 x \\ 5 x-7 & 4 x\end{array}\right]=\left[\begin{array}{cc}7 & 7 y-13 \\ y & x+6\end{array}\right]$, then the values of $x, y$ respectively are
  • A
    3,1
  • ✓
    2,3
  • C
    2,4
  • D
    3,3
✓

Answer

Correct option: B.
2,3
(b) : $\left[\begin{array}{cc}2 x+y & 4 x \\ 5 x-7 & 4 x\end{array}\right]=\left[\begin{array}{cc}7 & 7 y-13 \\ y & x+6\end{array}\right]$
On comparing, we get
$
4 x=x+6 \Rightarrow x=2 \text { and } 2 x+y=7 \Rightarrow y=7-4=3
$

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