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Explain why S is not a basis for M 2 O sis inearly dependent. Os does not span M O si inearty dependent and does not span M,

Explain why S is not a basis for M 2 O sis inearly dependent. Os does not span M O si inearty dependent and does not span M,

Advanced Engineering Mathematics
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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11. DETAILS LARLINALG8 4.5.031. MY NOTES ASK YOUR TEACHER Explain why S is not a basis for M, 2: S = O sis linearly dependent. O s does not span M, 2: O s is linearly dependent and does not span M, 2: 12. DETAILS LARLINALG8 4.5.039. MY NOTES ASK YOUR TEACHER Determine whether S is a basis for the indicated vector space. S = {(7, -4), (5, 6)} for R2 O s is a basis of R2. O s is not a basis of R2.
Transcribed Image Text:11. DETAILS LARLINALG8 4.5.031. MY NOTES ASK YOUR TEACHER Explain why S is not a basis for M, 2: S = O sis linearly dependent. O s does not span M, 2: O s is linearly dependent and does not span M, 2: 12. DETAILS LARLINALG8 4.5.039. MY NOTES ASK YOUR TEACHER Determine whether S is a basis for the indicated vector space. S = {(7, -4), (5, 6)} for R2 O s is a basis of R2. O s is not a basis of R2.
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