Answered: dim(W) = 4. Answer the following. Tr… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section: Chapter Questions

Problem 5RQ

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10. W is a subspace of P, and dim(W) = 4. Answer the following.
(a) W = P,
True / False
(b) If A = {r – 2, 2.r? – 7.x, 3r? – 5}CW and linearly independent then < A>= W.
True / False
(c) If B = {r – 2, x² – 2x, r – 2r?, a – 2r} CW and linearly independent then
< B >= W.
True / False
(d) If C = {1,x, ², r²} C Pa and linearly independent then < C >= W. True / False
(e) Any set that is linearly independent in W is in P4.
linearly independent / linearly dependent

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