Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(0,1,2,...) = (1, 20, 21, 22, ...) from the space of infinite sequences into itself OB. T(f(t)) = f(t)f' (t) from P3 to P5 OC. T(x + y) = 2xiy from C to C OD. T(f(t)) = f'(t) + 6 f(t) from C to C f(t)dt from Pg to R -3 OF. T(f(t)) = t²f' (t) from P₂ to P3 0 E. T(f(t)) =

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