MCQs of Matrices

Showing 21 to 30 out of 92 Questions

21.

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)	$[\begin{matrix} \frac{4}{3} & 3 \\ 0 & \frac{1}{3} \end{matrix}]$

22.

If [\begin{matrix} x + y & xy \\ - 8 & 3 \end{matrix}] = [\begin{matrix} 6 & 8 \\ - 8 & 3 \end{matrix}], then x =_____and y =_____

23.

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

24.

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

25.

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 =_____

26.

I f A = [\begin{matrix} a b & b^{2} \\ - a^{2} & - a b \end{matrix}], t h e n A^{2} =_____

27.

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

28.

T h e s o l u t i o n s e t o f t h e m a t r i x e q u a t i o n [\frac{x^{2}}{y^{2}}] - 4 [\frac{2 x}{y}] = [\frac{- 7}{12}] i s

29.

I f [\begin{matrix} 5 & - 7 \\ - 2 & 3 \end{matrix}] X = [\begin{matrix} - 16 & - 6 \\ 7 & 2 \end{matrix}], t h e n 2 \times 2 m a t r i x X =_____

30.

I f A = [\begin{matrix} 2 & 3 \\ - 1 & 2 \end{matrix}], t h e n A^{2} - 4 A + 10 I_{2} =_____

Showing 21 to 30 out of 92 Questions