Let v={(x,y,z,u) ∈ R^4 : y + z + u = 0}, w={(x,y,z,u) ∈ R^4 : x + y = 0, z=2u be two subspaces of R^4. Find bases for v, w, v + w and v ∩ w.

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 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Let v={(x,y,z,u) ∈ R^4 : y + z + u = 0}, w={(x,y,z,u) ∈ R^4 : x + y = 0, z=2u be two subspaces of R^4. Find bases for v, w, v + w and v ∩ w.
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