Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers. In each case, either 3a +b find a set S of vectors that spans W or give an example to show that W is not a vector space. a – 5b

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers. In each case, either
3a +b
find a set S of vectors that spans W or give an example to show that W is not a vector space.
a – 5b
Transcribed Image Text:Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers. In each case, either 3a +b find a set S of vectors that spans W or give an example to show that W is not a vector space. a – 5b
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