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Question: Answered & Verified by Expert
Let $P$ be the set of all non-singular matrices of order 3 over $R$ and $Q$ be the set of all orthogonal matrices of order 3 over $R .$ Then,
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Options:
  • A $P$ is proper subset of $Q$
  • B $Q$ is proper subset of $P$
  • C Neither $P$ is proper subset of $Q$ nor $Q$ is proper subset of $P$
  • D $P \cap Q=\phi$, the void set
Solution:
1236 Upvotes Verified Answer
The correct answer is: $Q$ is proper subset of $P$
All the orthogonal matrix are non-singular matrix. $\therefore Q$ is proper subset of $P$

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