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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If $\left[\begin{array}{ll}x+y & 2 x+z \\ x-y & 2 z+w\end{array}\right]=\left[\begin{array}{cc}4 & 7 \\ 0 & 10\end{array}\right]$, then the values of $x, y, z$ and $w$ respectively are
  • ✓
    $2, 2, 3, 4$
  • B
    $2, 3, 1, 2$
  • C
    $3,3,0,1$
  • D
    None of these
✓

Answer

Correct option: A.
$2, 2, 3, 4$
Since, $\left[\begin{array}{ll}x+y & 2 x+z \\ x-y & 2 z+w\end{array}\right]=\left[\begin{array}{cc}4 & 7 \\ 0 & 10\end{array}\right]$
$\Rightarrow x+y=4 ... (i)$
$x-y=0 ... (ii)$
$2 x+z=7 ... (iii)$
and $2 z+w=10 ... (iv)$
On solving these equations,
we get $x=2, y=2, z=3$ and $w=4$

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