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?
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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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14f5dfa0-e76c-452b-a93a-f9d16dc02fa6%2Febd49066-7cfc-4e7d-85df-9a456c8143e9%2Favrm0f_processed.png&w=3840&q=75)
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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