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Question: Answered & Verified by Expert
If $A=\left[\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right]$, then
MathematicsMatricesMHT CETMHT CET 2020 (14 Oct Shift 2)
Options:
  • A $A$ is not invertible
  • B $A=A^{-1}$
  • C $A^{-1}=2 A$
  • D $A^{-1}=I$
Solution:
1290 Upvotes Verified Answer
The correct answer is: $A=A^{-1}$
Here $|\mathrm{A}|=-1(-1)=1$
and $\quad A^{-1}=\left[\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right]=A$

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