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Q1.

If $A = [\begin{matrix} x & 1 \\ 1 & 0 \end{matrix}]$ and $A = A^{- 1},$ then $x =$ ________

(A)

0

(B)

4

(C)

2

(D)

1

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Q2.

If $ω$ is a complex cube root of unity and $A = [\begin{matrix} ω & 0 & 0 \\ 0 & ω^{2} & 0 \\ 0 & 0 & 1 \end{matrix}]$ then $A^{- 1} = \dots$

(A)

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

(B)

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

(C)

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

(D)

[\begin{matrix} 0 & 0 & ω \\ 0 & ω^{2} & 0 \\ 0 & 0 & 0 \end{matrix}]

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