Let T : P2 P2 be the mapping defined by T(a0 + a1x + a2x2 ) = 3a0 + a1x + (a0 + a1)x2
Chapter 8, Problem 24(choose chapter or problem)
Let T : P2 P2 be the mapping defined by T(a0 + a1x + a2x2 ) = 3a0 + a1x + (a0 + a1)x2 (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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