Show that these are homomorphisms. Are they inverse to each other? (a) d/dx: P3 P2 given

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Show that these are homomorphisms. Are they inverse to each other?
(a) d/dx: P3 → P2 given by a0 + a1x + a2x2 + a3x3 maps to a1 + 2a2x + 3a3x2
(b) ∫ P2 → P3 given by b0 + b1x + b2x2 maps to b0x + (b1/2)x2 + (b2/3)x3

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:00 AM

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Show that these are homomorphisms. Are they inverse to each other? (a) d/dx: P3 P2 given

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The check that each is a homomorphisms is routine Here is the che...View the full answer

Linear Algebra

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