3 1. Consider the subspaces of V = R³ below, Find U + W, U + Z, and W + Z. U = W = Z = {(x, y, x − y) : x, y ≤ R} {(x, 0, x) : x ≤ R} {(x, x, x) : x ≤ R}

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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3
1. Consider the subspaces of V = R³ below,
Find U + W, U + Z, and W + Z.
U
=
W =
Z =
{(x, y, x − y) : x, y ≤ R}
{(x, 0, x) : x ≤ R}
{(x, x, x) : x ≤ R}
Transcribed Image Text:3 1. Consider the subspaces of V = R³ below, Find U + W, U + Z, and W + Z. U = W = Z = {(x, y, x − y) : x, y ≤ R} {(x, 0, x) : x ≤ R} {(x, x, x) : x ≤ R}
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