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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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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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