Answered: Which of the following sets spans R3 ?…

Which of the following sets spans R3 ? Os = {(2, -1, 4), (3, -3, 5), (1, 1, 3)} S= {(2, -1, 4), (3, 3, 5), (1, 1, 3)} Os = {(-2, 1, 4), (-3, 3, 5), (-1, -1, 3)} S= {(2, 1, 4), (3, 3, 5), (1, -1, 3)}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 26E: Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.

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Question

Which of the following sets spans
R3 ?
Os = {(2, -1, 4), (3, -3, 5), (1, 1, 3)}
S= {(2, -1, 4), (3, 3, 5), (1, 1, 3)}
Os = {(-2, 1, 4), (-3, 3, 5), (-1, -1, 3)}
S= {(2, 1, 4), (3, 3, 5), (1, -1, 3)}

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