a Show that the set of vectors of the form a +b forms a subspace of R³. Find a 2а - b basis for this space. What is it's dimension?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Linear Algebra Question

a
Show that the set of vectors of the form
a +b
forms a subspace of R³. Find a
2а — b
-
basis for this space. What is it's dimension?
Transcribed Image Text:a Show that the set of vectors of the form a +b forms a subspace of R³. Find a 2а — b - basis for this space. What is it's dimension?
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