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(a) Show that x + z x-yx, y, z ER [z+y] = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? W = {1 span(v1, v2, v3). Then (b)

(a) Show that x + z x-yx, y, z ER [z+y] = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? W = {1 span(v1, v2, v3). Then (b)

Elementary Linear Algebra (MindTap Course List)
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 W = { x + z X - Y z+y : x,y,z ER = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? span(v₁, V2, V3). Then (b)
Transcribed Image Text:(a) Show that W = { x + z X - Y z+y : x,y,z ER = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? span(v₁, V2, V3). Then (b)
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