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(6) from Pg to R B. T(f(t)) = f'(t) +9f(t) + 5 from C∞ to C∞ c. T(f(t)) = f(t)f' (t) from P4 to P₁ D. T(x + y) = 7xiy from C to C E. T(f(t)) = t'f' (t) from P₂ to P8 L -4 F. T(f(t)) = f(t)dt from P5 to R

For each question below, T: R" → R" where n = 2 or 3 such that T(x) = y. Which of the following transformations are linear? UA. B. C. OD. E. OF. Y1 Y2 Y1 Y2 Y1 Y2 Y1 Y2 Y3 Y1 = = = = Y2 Y1 Y2 = = 0 5x2 7x1 9 2x1 + x2 -X1 -3x1 4x1 6x1 x1 +8 X2 0 X1X2

PLEASE ANSWER ALL QUESTIONS OR LEAVE IT

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(x0, 1, 2, ...) = (1, 0, ₁, 2,...) from the space of infinite sequences into itself B. T( f(t)) = f(t)f' (t) from P3 to P₁ c. T(x + y) = 2xiy from C to C D. T(f(t)) = f' (t) + 6 f(t) from C to C 4 0 E.T(f(t)) = f(t)dt from Pg to R -3 OF. T(f(t)) = t² f' (t) from P₂ to P3

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. OA. T(f(t)) = (f(t))³ + 8(f(t))? + 6f(t) from C* to C∞ B. T(f(t)) = f'(t) + 8f(t) from C to Co C. T(x+ iy) = 9x – iy from C to C D. T(f(t)) = f(-t) from Pg to Ps E. T(f(t)) = f(3) from P2 to R F. T(f(t)) = f'(t) + 7f(t) +4 from C to C∞ %3D

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