Explain why S is not a basis for R. S = {(6, 1, 4), (8, 6, 13), (3, 1, –5), (0, 3, 6)} O sis linearly dependent. O s does not span R3. O is 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
icon
Related questions
Question
Explain why S is not a basis for R3.
S = {(6, 1, 4), (8, 6, 13), (3, 1, –5), (0, 3, 6)}
O sis 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 = {(6, 1, 4), (8, 6, 13), (3, 1, –5), (0, 3, 6)} O sis linearly dependent. O s does not span R3. O sis linearly dependent and does not span R3.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer