Let W be the subspace consisting of all vectors 13 a of the form 15 a – 16 b where a and b - are real numbers. (a) / Find a basis for W. (b) ( What is the dimension of W?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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Let W be the subspace consisting of all vectors
13 а
of the form
15 а — 16 Ь
where a and b
are real numbers.
(a) /
Find a basis for W.
(b) (-
What is the dimension of W?
Transcribed Image Text:Let W be the subspace consisting of all vectors 13 а of the form 15 а — 16 Ь where a and b are real numbers. (a) / Find a basis for W. (b) (- What is the dimension of W?
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