MCQs of Matrices

Showing 11 to 20 out of 69 Questions

11.

I f A [\begin{matrix} 1 & - 2 & - 5 \\ 3 & 4 & 0 \end{matrix}] = [\begin{matrix} - 1 & - 8 & - 10 \\ 1 & - 2 & - 5 \\ 9 & 22 & 15 \end{matrix}], t h e n A =_____.

12.

I f A = [\begin{matrix} \cos \frac{2 π}{3} & - \sin \frac{2 π}{3} \\ \sin \frac{2 π}{3} & \cos \frac{2 π}{3} \end{matrix}], t h e n A^{3} =_____.

13.

C h e c k, w h e t h e r \frac{1}{11} [\begin{matrix} - 1 & 8 & α \\ 1 & - 19 & 14 \\ 2 & 6 & - 5 \end{matrix}] i s a n i n v e r s o f A = [\begin{matrix} 1 & 2 & 5 \\ 3 & 1 & 1 \\ 4 & 2 & 1 \end{matrix}], i f s o, t h e n α =_____.

14.

[\begin{matrix} x & 0 \\ 1 & y \end{matrix}] - [\begin{matrix} 2 & - 4 \\ - 3 & - 4 \end{matrix}] = [\begin{matrix} 3 & 5 \\ 6 & 3 \end{matrix}] - [\begin{matrix} 2 & 1 \\ 2 & 1 \end{matrix}]

, then x = _____, y = _____.

15.

If [1 x 1] [\begin{matrix} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 3 & 2 \end{matrix}] [\begin{matrix} 1 \\ 1 \\ x \end{matrix}] = 0, then x =_____.

16.

If a_{ij} = \frac{(i - 2 j)^{2}}{3}, then {[\begin{matrix} a_{ij} \end{matrix}]}_{2 x 2} =_____

(a)	$[\begin{matrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{matrix}]$
(b)	$[\begin{matrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{matrix}]$
(c)	$[\begin{matrix} \frac{4}{3} & 0 \\ 3 & \frac{1}{3} \end{matrix}]$
(d)	$[\begin{matrix} \frac{4}{3} & 3 \\ 0 & \frac{1}{3} \end{matrix}]$

17.

A i s a 3 \times 3 m a t r i x, t h e n |3 A| =_____|A|

18.

I f A B = B A a n d A = [\begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}] t h e n B =_____

19.

I f A = [\begin{matrix} 3 & 0 \\ 4 & 3 \end{matrix}] a n d B = [\begin{matrix} 3 & 0 \\ - 4 & 3 \end{matrix}] t h e n A^{2} + A B + 6 B =_____

20.

I f A = [\begin{matrix} p & q \\ r & s \end{matrix}], t h e n a d j (a d j A) =_____

Showing 11 to 20 out of 69 Questions