MCQs of Matrices

Showing 21 to 30 out of 69 Questions

21.

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

22.

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 =_____

23.

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

24.

I f A = [\begin{matrix} - 4 & 3 \\ - 5 & 4 \end{matrix}] t h e n A^{- 1} =_____

25.

I f A = [\begin{matrix} a b & b^{2} \\ - a^{2} & - a b \end{matrix}] a n d A^{n} = O, t h e n t h e m i n i m u m v a l u e o f n i s_____

26.

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

(a)	$[\begin{matrix} \cos 3 θ & - \sin 3 θ \\ - \sin 3 θ & \cos 3 θ \end{matrix}]$
(b)	$[\begin{matrix} \cos 3 θ & \sin 3 θ \\ \sin 3 θ & - \cos 3 θ \end{matrix}]$
(c)	$[\begin{matrix} \cos 3 θ & \sin 3 θ \\ - \sin 3 θ & \cos 3 θ \end{matrix}]$
(d)	$[\begin{matrix} \cos 3 θ & \sin 3 θ \\ \sin 3 θ & \cos 3 θ \end{matrix}]$

27.

I f A = [\begin{matrix} 1 & 1 \\ 1 & 1 \end{matrix}], t h e n A^{100} =_____

28.

I f A = [\begin{matrix} 3 & 4 \\ 5 & 7 \end{matrix}], t h e n A (a d j A) =_____

29.

I f A = [\begin{matrix} - i & i \\ i & - i \end{matrix}] a n d B = [\begin{matrix} - 1 & 1 \\ 1 & - 1 \end{matrix}] t h e n A^{2} + B^{2} =_____

30.

\cos θ [\begin{matrix} \cos θ & - \sin θ \\ \sin θ & \cos θ \end{matrix}] + \sin θ [\begin{matrix} \sin θ & \cos θ \\ - \cos θ & \sin θ \end{matrix}] =_____

Showing 21 to 30 out of 69 Questions