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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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Let V be the vector space P3[2] of polynomials in z with degree less than 3 and W be the subspace
W = span{8 + 3x + 8x²,9x-9-8x²}.
a. Find a nonzero polynomial p(x) in W.
p(x) =
b. Find a polynomial g(x) in V \ W.
q(z)
=

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In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 37. V = P, W is the set of all polynomials of degree 3
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