Let U and V be the subset of R' defined as U = { (a,b.c,d) : 3b-2d-a = 0 } and / = { (a,b,c,d) : a=c }. Show that U and V are the subspaces of R4. Find the basis and dimension of U and V.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 23CM
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Let U and V be the subset of R' defined as U = { (a,b.c,d) : 3b-2d-a = 0 } and
V = { (a,b,c,d) : a=c }.
Show that U and V are the subspaces of R4.
Find the basis and dimension of U and V.
Transcribed Image Text:Let U and V be the subset of R' defined as U = { (a,b.c,d) : 3b-2d-a = 0 } and V = { (a,b,c,d) : a=c }. Show that U and V are the subspaces of R4. Find the basis and dimension of U and V.
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