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Question: Answered & Verified by Expert
If $A$ be a real skew- symmetric matrix of order $\mathrm{n}$ such that $A^{2}+I=0$, I being the identity matrix of the same order as that of $A$, then what is the order of $A$?
MathematicsMatricesNDANDA 2010 (Phase 1)
Options:
  • A 3
  • B Odd
  • C Prime number
  • D Even
Solution:
1124 Upvotes Verified Answer
The correct answer is: 3
We know if $A$ is a real skew-symmetric matrix of order $n$ such that $A^{2}+I=0$, then order of $A$ is 3.

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