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a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): 6a +b -a -b 1 -4 2 is a basis of W. -1 2 -3 3 is a basis of W. -2 -9 3 2 - 4 -2 2 is a basis of W. 12 -2 - 1 I W is not a vector space.

a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): 6a +b -a -b 1 -4 2 is a basis of W. -1 2 -3 3 is a basis of W. -2 -9 3 2 - 4 -2 2 is a basis of W. 12 -2 - 1 I W is not a vector space.

Linear Algebra: A Modern Introduction
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
Problem 63EQ
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a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): ба +b -a -b 1 - 41 is a basis of W. 1 -1 2 -3 -2 is a basis of W. -9 -2 - 4 -2 is a basis of W. 1 12 -2 - 1 O W is not a vector space.
Transcribed Image Text:a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): ба +b -a -b 1 - 41 is a basis of W. 1 -1 2 -3 -2 is a basis of W. -9 -2 - 4 -2 is a basis of W. 1 12 -2 - 1 O W is not a vector space.
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