MCQs of Matrices

Showing 61 to 70 out of 92 Questions

61.

[\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=_____

62.

[\begin{matrix} 1 & x & 1 \end{matrix}] [\begin{matrix} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 3 & 2 \end{matrix}] [\begin{matrix} 1 \\ 1 \\ x \end{matrix}]

=0, then x=_____

63.

If A

[\begin{matrix} 1 & - 2 & - 5 \\ 3 & 4 & 0 \end{matrix}] = [\begin{matrix} - 1 & - 8 & - 10 \\ 1 & - 2 & - 5 \\ 9 & 22 & 15 \end{matrix}]

,then A=_____

64.

A is a 3x3 matrix, then

|4 A| =_____|A|

65.

If A=

{[a_{i j}]}_{3 x 3}

such that

a_{i j}

=0,i

\neq

j, then A is_____. (

a_{i j} \neq a_{j j}

)(n>1)

66.

If A=

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

and

A^{3}

[\begin{matrix} x & y \\ y & x \end{matrix}]

then x=_____ y=_____.

67.

[\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=_____

68.

If AB=BA and A=

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

, then B=_____

69.

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

=0, then x=_____

70.

If A=

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

, then A(adjA)=_____

Showing 61 to 70 out of 92 Questions