Explain why S is not a basis for R³. S = {(1, 1, 1), (1,1,0), (1,0,1), (0, 0, 0)) OS is linearly dependent. S does not span R³. S is linearly dependent and does not span R³.
Explain why S is not a basis for R³. S = {(1, 1, 1), (1,1,0), (1,0,1), (0, 0, 0)) OS is linearly dependent. S does not span R³. S is linearly dependent and does not span R³.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Explain why S is not a basis for R³.
S = {(1, 1, 1), (1,1,0), (1,0,1), (0, 0, 0))
OS is linearly dependent.
S does not span R³.
S is linearly dependent and does not span R³.
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