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 \(\mathrm{A}\) and \(\mathrm{T}\) but not between \(\mathrm{A} \& \mathrm{U}\).
(D) there exists bijective mapping between A and U but not between A \& T.