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))² + 6f(t) from Cº to C0 OB. T(f(t)) = f'(t) + 8ƒ(t) from Cº to Co OC. T(x + iy) = 9x – iy from C to C OD. T(f(t)) = f(-t) from Pe to P6 OE. T(f(t)) = f(3) from P2 to R OF. T(f(t)) f'(t) + 7f(t) +4 from Cº to C∞

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. OD. T(f(t)) = f(4) from Pg to R Oe. T(f(t)) = t° f'(t) from P2 to P, OF. T(f(t)) = f' (t) + 8f(t) + 5 from C to Co

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

X= y = Find the inverse of the (nonlinear) transformation from R² to R² given by U = V = gy 5x5 - 8y