Explain why S is not a basis for R3. S = {(1, 3, 0), (1, 2, 4), (1, 4, –4)} O S is linearly dependent. O s does not span R3. O Sis linearly dependent and does not span R3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Explain why S is not a basis for R3.
S = {(1, 3, 0), (1, 2, 4), (1, 4, –4)}
O S is linearly dependent.
O s does not span R3.
O Sis linearly dependent and does not span R3.
Transcribed Image Text:Explain why S is not a basis for R3. S = {(1, 3, 0), (1, 2, 4), (1, 4, –4)} O S is linearly dependent. O s does not span R3. O Sis linearly dependent and does not span R3.
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