Determine whether S is a basis for R³. S= {(3, 5, 4), (0, 5, 4), (0, 0, 4)) OS is a basis for R³. S is not a basis for R³. If S is a basis for R³, then write u = (9, 10, 16) as a linear combination of the vectors in S. (Use S₁, S₂, and s3, respectively, as the vectors in S. If not possible, ent IMPOSSIBLE.) 251-82+383 x U=

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 7EQ
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Determine whether S is a basis for R³.
S = {(3, 5, 4), (0, 5, 4), (0, 0, 4))
S is a basis for R³.
S is not a basis for R3.
If S is a basis for R³, then write u = (9, 10, 16) as a linear combination of the vectors in S. (Use S₁, S₂, and s3, respectively, as the vectors in S. If not possible, ent
IMPOSSIBLE.)
251-52 +353 x
U=
Transcribed Image Text:Determine whether S is a basis for R³. S = {(3, 5, 4), (0, 5, 4), (0, 0, 4)) S is a basis for R³. S is not a basis for R3. If S is a basis for R³, then write u = (9, 10, 16) as a linear combination of the vectors in S. (Use S₁, S₂, and s3, respectively, as the vectors in S. If not possible, ent IMPOSSIBLE.) 251-52 +353 x U=
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