. Let T : P3 P2 be the mapping defined by T(a0 + a1x + a2x2 + a3x3 ) = 5a0 + a3x2 (a)

Chapter 8, Problem 23

(choose chapter or problem)

. Let T : P3 P2 be the mapping defined by T(a0 + a1x + a2x2 + a3x3 ) = 5a0 + a3x2 (a) Show that T is linear. (b) Find a basis for the kernel of T . (c) Find a basis for the range of T .

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