MCQs of Matrices

Showing 31 to 40 out of 92 Questions

31.

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

32.

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_____

33.

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)	$[\begin{matrix} \cos 3 θ & \sin 3 θ \\ \sin 3 θ & \cos 3 θ \end{matrix}]$

34.

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

35.

I f A = [\begin{matrix} 2 x & 0 \\ x & x \end{matrix}] a n d A^{- 1} = [\begin{matrix} 1 & 0 \\ - 1 & 2 \end{matrix}], t h e n x =_____

36.

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

37.

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} =_____

38.

\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}] =_____

39.

If A=diag

[\begin{matrix} 1 & - 1 & 2 \end{matrix}]

and B=diag

[\begin{matrix} 3 & 2 & 1 \end{matrix}]

, then B-A=_____

40.

[\begin{matrix} x^{2} \\ y^{2} \end{matrix}] - 4 [\begin{matrix} 2 x \\ y \end{matrix}] = [\begin{matrix} - 7 \\ 12 \end{matrix}]

is matrix equation and (x,y)

\in

NxN then x=_____and y=_____

Showing 31 to 40 out of 92 Questions