Explain why S is not a basis for R³. S = {(8, 6, 13), (6, 1, 4), (3, 1, -5), (0, 8, 3)) OS is linearly dependent. OS does not span R³. OS is linearly dependent and does not span R³.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Explain why S is not a basis for R³.
S = {(8, 6, 13), (6, 1, 4), (3, 1,-5), (0, 8, 3)}
OS is linearly dependent.
OS does not span R³.
OS is linearly dependent and does not span R³.
J
Transcribed Image Text:Explain why S is not a basis for R³. S = {(8, 6, 13), (6, 1, 4), (3, 1,-5), (0, 8, 3)} OS is linearly dependent. OS does not span R³. OS is linearly dependent and does not span R³. J
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