Solved: Which of the following functions are linear transformations (Here, p'(t) denotes

Chapter 6, Problem 3

(choose chapter or problem)

Which of the following functions are linear transformations? (Here, p'(t) denotes the derivative of p(l) with respect to I.] (a) L : 1'2 -+ I', defined by L(p(l = I ) p'(O)+12 p(O) (b) L: PI -+ P2 defined by L(p(I = Ip(t) + p (O) (e) L: PI -+ P2 defined by L(p(l)) = fp(l) + I

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