For the homomorphism h: P3 P3 given by h(a0 + a1x + a2x2 + a3x3) =

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For the homomorphism h: P3 → P3 given by h(a0 + a1x + a2x2 + a3x3) = a0 + (a0 + a1)x + (a2 + a3)x3 find these.
(a) N (h)
(b) h-1(2 - x3)
(c) h-1 (1 + x2)

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:01 AM

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For the homomorphism h: P3 P3 given by h(a0 + a1x + a2x2 + a3x3) =

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a Setting a 0 a 0 a 1 x a 2 a 3 x 3 0 0x 0x 2 0x 3 gives a 0 0 and a 0 a 1 0 and a 2 a 3 0 so the ...View the full answer

Linear Algebra

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