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Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (6, 4, 3), (3, 2, 6)} for R³ OS is a basis of R³. S is not a basis of R³.

Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (6, 4, 3), (3, 2, 6)} for R³ OS is a basis of R³. S is not a basis of R³.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (6, 4, 3), (3, 2, 6)} for R³ OS is a basis of R³. OS is not a basis of R³.
Transcribed Image Text:Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (6, 4, 3), (3, 2, 6)} for R³ OS is a basis of R³. OS is not a basis of R³.
Determine whether the set S spans R2. If the set does not span R2, then give a geometric description of the subspace that it does span. S = {(1, 1), (-1, 2)} OS spans R². S does not span R². S spans a line in R². O S does not span R². S spans a point in R².
Transcribed Image Text:Determine whether the set S spans R2. If the set does not span R2, then give a geometric description of the subspace that it does span. S = {(1, 1), (-1, 2)} OS spans R². S does not span R². S spans a line in R². O S does not span R². S spans a point in R².
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