[ * 20 c 1&3 3& 10 ]^ - 1 = - Vidyadip

MCQ

${\left[ {\begin{array}{*{20}{c}}1&3\\3&{10}\end{array}} \right]^{ - 1}} = $

A
$\left[ {\begin{array}{*{20}{c}}{10}&3\\3&1\end{array}} \right]$
✓
$\left[ {\begin{array}{*{20}{c}}{10}&{ - 3}\\{ - 3}&1\end{array}} \right]$
C
$\left[ {\begin{array}{*{20}{c}}1&3\\3&{10}\end{array}} \right]$
D
$\left[ {\begin{array}{*{20}{c}}{ - 1}&{ - 3}\\{ - 3}&{ - 10}\end{array}} \right]$

✓

Answer

Correct option: B.

$\left[ {\begin{array}{*{20}{c}}{10}&{ - 3}\\{ - 3}&1\end{array}} \right]$

b
(b) As $\left[ {\begin{array}{*{20}{c}}1&3\\3&{10}\end{array}} \right]\,\,\left[ {\begin{array}{*{20}{c}}{10}&{ - 3}\\{ - 3}&1\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&0\\0&1\end{array}} \right]$.

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

More "M.C.Q (1 Marks)" from 3 and 4 . determinant and metrices→3 and 4 . determinant and metrices — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If A and B are two matrices such that AB = B and BA = A, A² + B² is equal to:

2AB
2BA
A + B
AB

If $\text{F}:[1,\infty)\rightarrow[2,\infty)$ is given by $\text{f(x)}=\text{x}+\frac{1}{\text{x}},$ then f^-1(x) equals:

$\frac{\text{x}+\sqrt{\text{x}^2-4}}{2}$
$\frac{\text{x}}{1+\text{x}^2}$
$\frac{\text{x}-\sqrt{\text{x}^2-4}}{2}$
$1+\sqrt{\text{x}^2-4}$

The area of the region bounded by $x = 0, y = 0,x = 2, y = 2, y \leq\ e^x$ and $y\geq\ log\ x$ is

$\tan ^{-1} \sqrt{3}-\sec ^{-1}(-2)$ is equal to

If $\left| {{\kern 1pt} \begin{array}{*{20}{c}}1&2&3\\2&x&3\\3&4&5\end{array}\,} \right| = 0,$ then $x =$

Let $M$ and $N$ be two $3 \times 3$ non-singular skew-symmetric matrices such that $M N=N M$. If $P^T$ denotes the transpose of $P$, then $M^2 N^2\left(M^T N\right)^{-1}\left(M N^{-1}\right)^T$ is equal to

$(A)$ $M^2$ $(B)$ $-N^2$ $(C)$ $-M^2$ $(D)$ $M N$

Let f : R → R be given by $\text{f(x)}=\tan\text{x}.$ Then, f^-1(1) is:

$\frac{\pi}{4}$
$\big\{\text{n}\pi+\frac{\pi}{4}:\text{n}\in\text{Z}\big\}$
Does not exist.
None of these.

For real numbers $\alpha, \beta, \gamma$ and $\delta,$ if $\int \frac{\left(x^{2}-1\right)+\tan ^{-1}\left(\frac{x^{2}+1}{x}\right)}{\left(x^{4}+3 x^{2}+1\right) \tan ^{-1}\left(\frac{x^{2}+1}{x}\right)} d x$ $=\alpha \log _{e}\left(\tan ^{-1}\left(\frac{x^{2}+1}{x}\right)\right)$ $+\beta \tan ^{-1}\left(\frac{\gamma\left(x^{2}-1\right)}{x}\right)+\delta \tan ^{-1}\left(\frac{x^{2}+1}{x}\right)+C$ where $C$ is an arbitrary constant, then the value of $10(\alpha+\beta \gamma+\delta)$ is equal to ....... .

Define a relation $R$ over a class of $n \times n$ real matrices $A$ and $B$ as $"ARB$ iff there exists a non-singular matrix $P$ such that $PAP ^{-1}= B "$ Then which of the following is true?

If the area of the region

$\left\{(\mathrm{x}, \mathrm{y}): \frac{\mathrm{a}}{\mathrm{x}^2} \leq \mathrm{y} \leq \frac{1}{\mathrm{x}}, 1 \leq \mathrm{x} \leq 2,0<\mathrm{a}<1\right\}$ is

$\left(\log _e 2\right)-\frac{1}{7}$ then the value of $7 a-3$ is equal to: