WBJEE · Maths · Matrices
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,
- 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
Answer & Solution
Correct Answer
(B) \(Q\) is proper subset of \(P\)
Step-by-step Solution
Detailed explanation
All the orthogonal matrix are non-singular matrix. \(\therefore Q\) is proper subset of \(P\)
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