WBJEE · Maths · Functions
Let \(T \& U\) be the set of all orthogonal matrices of order 3 over \(R \&\) the set of all non-singular matrices of order 3 over \(\mathrm{R}\) respectively
Let \(A=\{-1,0,1\}\), then
- A there exists bijective mapping between \(\mathrm{A}\) and \(\mathrm{T}, \mathrm{U}\).
- B there does not exist bijective mapping between \(\mathrm{A}\) and \(\mathrm{T}, \mathrm{U}\).
- C there exists bijective mapping between \(\mathrm{A}\) and \(\mathrm{T}\) but not between \(\mathrm{A} \& \mathrm{U}\).
- D there exists bijective mapping between \(\mathrm{A}\) and \(\mathrm{U}\) but not between \(\mathrm{A} \& \mathrm{~T}\).
Answer & Solution
Correct Answer
(B) there does not exist bijective mapping between \(\mathrm{A}\) and \(\mathrm{T}, \mathrm{U}\).
Step-by-step Solution
Detailed explanation
As \(\mathrm{n}(\mathrm{A}) \neq \mathrm{n}(\mathrm{T})\) and \(\mathrm{n}(\mathrm{A}) \neq \mathrm{n}(\mathrm{u})\)
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