Help needed with linear transformation If T: P1 rightarrow P1 is a linear transf

Question

Help needed with linear transformation

If T: P1 rightarrow P1 is a linear transformation such that T(1 + 3x) = 1 + 3x and T(3 + 8x) = 3 + 2x, then T(4 - 3x) = . Find the matrix A of the linear transformation from P3 to R with respect to the standard bases for P3 and R. A = Which of the following transformations are linear? T(f(t)) = f'(t) + 6f(t) from C infinity to C infinity fromP7 to R T(x + iy) = 2x - iy from C to C T(f(t)) = f(t)f'(t) from P3 to P5 T(f(t)) = f(9) from P5 to R T(f(t)) = f'(t) + 4f(t) + 7 from C infinity to C infinity

Explanation / Answer

a) -41*(1+3x) + 15*(3+2x) = 4-93x

b) Sorry

c) A,B,C,E,F are linear

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