Answered: a)Find bases for the following…

a)Find bases for the following subspaces of F^5 V = {(c1, c2, c3, c4, c5) | c1 − c3 − c4 = 0} W = {(c1, c2, c3, c4, c5) | c2 = c3 = c4 and c1 + c5 = 0} b)What are their dimensions?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 66E

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Question

a)Find bases for the following subspaces of F^5

V = {(c1, c2, c3, c4, c5) | c1 − c3 − c4 = 0}

W = {(c1, c2, c3, c4, c5) | c2 = c3 = c4 and c1 + c5 = 0}

b)What are their dimensions?

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