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(f(t)) = (f(t))³ + 6(f(t))² + 5f (t) from C to C B. T(x0, X₁, X2, ...) = (1, X0, X₁, X₂, ...) from the space of infinite sequences into itself C. T(f(t)) = f(9) from P7 to R D. T(f(t)) = f(-t) from P5 to P5 □E. T(f(t)) = f'(t) + 6f (t) from C* to C* = [₁₁ □ F. T(f(t)) = f(t)dt from P3 to R

Please answer correctly this time

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(A) = A -8 12 31-12 4 4 7 8 5 B. T(A) -7 2 C. T(A) = det(A) from R4×4 to R D. T(A) = 21] 4 E. T(A) = A + I3 from R³×3 F. T(A) = 3A from R 5x4 A from R2x3 to R²x3 A from R2x2 from R to R2 to R 3x3 to R 5x4 2x2 to R2x2

Short Answer 1. The graph of y= f(x) is shown below. The graph of y =/fx) is to be drawn on the same coordinate plane. The graph of the function y = A(x) will have a domain of and there are invariant points associated with this transformation.