Download App

STD 12 - 3 and 4 . determinant and metrices — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 3 and 4 . determinant and metrices4 Marks
MCQ
If $\left[ {\begin{array}{*{20}{c}}{x + y}&{2x + z}\\{x - y}&{2z + w}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}4&7\\0&{10}\end{array}} \right]$, then values of $x, y, z, w$ are
  • ✓
    $2, 2, 3, 4$
  • B
    $2, 3, 1, 2$
  • C
    $3, 3, 0, 1$
  • D
    None of these
✓

Answer

Correct option: A.
$2, 2, 3, 4$
a
(a) Given, $x + y = 4$…..$(i)$

and $x - y = 0$ .…$(ii)$

After solving $(i)$ and $(ii),$ $x = 2,\,y = 2$

$\therefore$ $2x + z = 7$ $⇒$ $z = 3$ and $2z + w = 10$ $⇒$ $w = 4$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

${\tan ^{ - 1}}\frac{{1 - {x^2}}}{{2x}} + {\cos ^{ - 1}}\frac{{1 - {x^2}}}{{1 + {x^2}}} = $
→
Let $X _{1}, X _{2}, \ldots, X _{18}$ be eighteen observations such that $\sum_{ i =1}^{18}\left( X _{ i }-\alpha\right)=36 \quad$ and $\sum_{i=1}^{18}\left(X_{i}-\beta\right)^{2}=90,$ where $\alpha$ and $\beta$ are distinct real numbers. If the standard deviation of these observations is $1,$ then the value of $|\alpha-\beta|$ is ...... .
→
The value of the limit $\lim _{x \rightarrow 0}\left(\frac{x}{\sin x}\right)^{6 / x^2}$ is
→
Let $\vec{a}$ be a vector which is perpendicular to the vector $3 \hat{ i }+\frac{1}{2} \hat{ j }+2 \hat{ k }$. If $\overrightarrow{ a } \times(2 \hat{ i }+\hat{ k })=2 \hat{ i }-13 \hat{ j }-4 \hat{ k }$, then the projection of the vector $\vec{a}$ on the vector $2 \hat{ i }+2 \hat{ j }+\hat{ k }$ is
→
A bag contains $3$ red and $7$ black balls, two balls are taken out at random, without replacement. If the first ball taken out is red, then what is the probability that the second taken out ball is also red
→
Given $f(x) = \int\limits_{ - 2}^x {t.g'(t)\,dt} $  for $x \geq  -2$, where $g$ is an increasing function, then 
→
$\int {{e^{3\log x}}{{({x^4} + 1)}^{ - 1}}\,\,dx} $=
→
$\int_{}^{} {{{\sin }^{ - 1}}x\;dx} $is equal to
→
${\cos ^2}{76^o} + {\cos ^2}{16^o} - \cos {76^o}\cos {16^o} = $
→
In a simultaneous throw of three coins, what is the probability of getting at least $2$ tails
→