08--00-- and W₂ = (a) Find a basis for W₁ W₂. What is dim(W₁ W₂)? (b) Show that R³ =W₁ + W₂- (c) Find a subspace U such that R³ =W₁ @U. Let W₁ be given subspaces of R¹.
08--00-- and W₂ = (a) Find a basis for W₁ W₂. What is dim(W₁ W₂)? (b) Show that R³ =W₁ + W₂- (c) Find a subspace U such that R³ =W₁ @U. Let W₁ be given subspaces of R¹.
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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