MCQs of Matrices

Showing 51 to 60 out of 69 Questions

51.

[\begin{matrix} x & 1 \\ 0 & y \end{matrix}] - [\begin{matrix} - 1 & - 2 \\ 1 & 3 \end{matrix}] = [\begin{matrix} 7 & 6 \\ 8 & 2 \end{matrix}] - [\begin{matrix} 5 & 3 \\ 9 & - 2 \end{matrix}]

, then x=_____, y=_____

52.

If AB=BA and A=

[\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}]

, then B=_____

53.

If A=

[\begin{matrix} 3 & 4 \\ 5 & 7 \end{matrix}]

, then A(adjA)=_____

54.

If A=

[\begin{matrix} 4 & 2 \\ - 1 & 1 \end{matrix}]

, then (A-2I)(A-3I)=_____

55.

Suppose that X=

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

, A=

[\begin{matrix} 1 & - 1 & 2 \\ 2 & 0 & 1 \\ 3 & 2 & 1 \end{matrix}]

and B=

[\begin{matrix} 3 \\ 1 \\ 4 \end{matrix}]

and AX=B, then X=_____

56.

If 2X+

[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] = [\begin{matrix} 3 & 8 \\ 7 & 2 \end{matrix}]

, then X=_____

57.

if A=

[\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}]

and I=

[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]

, then which of the following is true ?

\forall n \in N

58.

If A=

[\begin{matrix} α^{2} & 5 \\ 5 & - α \end{matrix}]

and

|A^{10}|

=1024, then

α

=_____

59.

If A=

[\begin{matrix} a & b \\ c & d \end{matrix}]

such that ad-bc

\neq

0, then

A^{- 1}

=_____

(a)	$\frac{1}{a d - b c} [\begin{matrix} d & - b \\ - c & a \end{matrix}]$
(b)	$\frac{1}{a d - b c} [\begin{matrix} d & b \\ - c & a \end{matrix}]$
(c)	$[\begin{matrix} d & - b \\ - c & a \end{matrix}]$
(d)	None of the above

60.

[\begin{matrix} 3 & 2 & 0 \end{matrix}] [\begin{matrix} 1 & 2 & 2 \\ - 2 & - 1 & - 1 \\ 1 & - 4 & - 3 \end{matrix}] [\begin{matrix} 3 \\ 2 \\ 0 \end{matrix}] = [_____]

Showing 51 to 60 out of 69 Questions