Let S = {T : ℝ→ ℝ3; T is a linear transformation with T(1, 0, 1) = (1, 2, 3) and T(1 ,2, 3) = (1, 0, 1)}. Then S is

1
a singleton set
2
a finite set containing more than one element
3
a countable infinite set
4
an uncountable set

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