Answered: What is the dimension of the sum of…

What is the dimension of the sum of subspaces V and W in R^4, where V=span{(1,−1,0,1),(1,0,−1,1)} and W=span{(1,−2,1,1),(0,1,−1,0)}? (a) 0. (b) 1. (c) 2. (d) 3. (e) 4.

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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Question

What is the dimension of the sum of subspaces V and W in R^4, where V=span{(1,−1,0,1),(1,0,−1,1)} and W=span{(1,−2,1,1),(0,1,−1,0)}? (a) 0. (b) 1. (c) 2. (d) 3. (e) 4.

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