MCQ
If $A = \left[ {\begin{array}{*{20}{c}}1&3&0\\{ - 1}&2&1\\0&0&2\end{array}} \right],B = \left[ {\begin{array}{*{20}{c}}2&3&4\\1&2&3\\{ - 1}&1&2\end{array}} \right]$, then $AB =$
  • A
    $\left[ {\begin{array}{*{20}{c}}5&9&{13}\\{ - 1}&2&4\\{ - 1}&2&4\end{array}} \right]$
  • $\left[ {\begin{array}{*{20}{c}}5&9&{13}\\{ - 1}&2&4\\{ - 2}&2&4\end{array}} \right]$
  • C
    $\left[ {\begin{array}{*{20}{c}}1&2&4\\{ - 1}&2&4\\{ - 2}&2&4\end{array}} \right]$
  • D
    None of these

Answer

Correct option: B.
$\left[ {\begin{array}{*{20}{c}}5&9&{13}\\{ - 1}&2&4\\{ - 2}&2&4\end{array}} \right]$
b
(b) $AB = \left[ {\begin{array}{*{20}{c}}{\,\,5}&9&{13}\\{ - 1}&2&4\\{\,\, - 2}&2&4\end{array}} \right]$.

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

Similar questions

If $\frac{a}{b},\frac{b}{c},\frac{c}{a}$ are in $H.P.$, then
The vectors $\overrightarrow {AB\,} \, = \,3\hat i\, + \,5\hat j\, + \,\,4\hat k\,\,and\,\,\overrightarrow {AC} \, = \,5\hat i\, - 5\hat j\, + 2\hat k$ are the sides of a triangle $ABC.$ The length of the median through $A$ is .............. $\mathrm{unit}$
Let $\alpha, \beta$ and $\gamma$ be three positive real numbers. Let $f ( x )=\alpha x ^{5}+\beta x ^{3}+\gamma x , x \in R \quad$ and $\quad g : R \rightarrow R$ be such that $g(f(x))=x$ for all $x \in R$. If $a_{1}, a_{2}, a_{3}, \ldots, a_{n}$ be in arithmetic progression with mean zero, then the value of $f\left(g\left(\frac{1}{n} \sum_{i=1}^{n} f\left(a_{i}\right)\right)\right)$ is equal to.
Let $S=\left\{\left(\begin{array}{cc}-1 & a \\ 0 & b\end{array}\right) ; a, b \in\{1,2,3, \ldots 100\}\right\}$ and let $T_{n}=\left\{A \in S: A^{n(n+1)}=I\right\}$. Then the number of elements in $\bigcap \limits_{n=1}^{100} T_{n}$ is
The set of equations $x - y + 3z = 2 , 2x - y + z = 4 , x - 2y + \alpha z = 3$ has
From a pack of playing cards three cards are drawn simultaneously. The probability that these are one king, one queen and one jack is
A unit vector in $xy$ - plane that makes an angle ${45^o}$ with the vector $(i + j)$ and an angle of ${60^o}$ with the vector $(3i - 4j)$ is
If $\cos \left( {\alpha + \beta } \right) = \frac{4}{5}$ and $\sin \left( {\alpha - \beta } \right) = \frac{5}{{13}}$,where $0 \le \alpha ,\beta \le \frac{\pi }{4}$ . Then $\tan 2\alpha =$ 
$\lim _{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}$ is equal to
The triangle of maximum area that can be inscribed in a given circle of radius $'r'$ is ...... .