MCQ
If $A = \left[ {\begin{array}{*{20}{c}}
3&7\\
1&2
\end{array}} \right]$ then $|A^{2011} -5A^{2010}|$ is equal to
3&7\\
1&2
\end{array}} \right]$ then $|A^{2011} -5A^{2010}|$ is equal to
- A$1$
- ✓$-1$
- C$6$
- D$-6$
$A-5 I=\left(\begin{array}{ll}{3} & {7} \\ {1} & {2}\end{array}\right)-\left(\begin{array}{ll}{5} & {0} \\ {0} & {5}\end{array}\right)=\left(\begin{array}{cc}{-2} & {7} \\ {1} & {-3}\end{array}\right)$
$|A-5 I|=-1$ and $|A|=-1$
So $|\mathrm{A}|^{2010}|\mathrm{A}-5 \mathrm{I}|=(-1)^{2010}(-1)=-1$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $X$ | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| $P(X)$ | $a$ | $6 a$ | $6 a$ | $4 a$ | $8 a$ | $8 a$ | $6 a$ | $9 a$ |
Which of the following is the principal value branch of cos-1x?
$\Big[\frac{-\pi}{2},\frac{\pi}{2}\Big]$
$(0,\pi)$
$[0,\pi]$
$(0,\pi)-\Big\{\frac{\pi}{2}\Big\}$