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Let T & U be the set of all orthogonal m...

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 R respectively.
Let A = {-1, 0, 1}, then

A

there exists bijective mapping between A and T, U.

B

there does not exist bijective mapping between A and T, U

C

there exists bijective mapping between A and T but not between A & U.

D

there exists bijective mapping between A and U but not between A & T.

Text Solution

Verified by Experts

The correct Answer is:
B
As number of elements in set `A` `(n(A) =3)` are not equal `n(T)` and `n(A)` is also not equal to `n(U).` Hence, there does not exist bijective mapping between `A` and `T, U`
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