2. Let W be the subspace of R5 spanned by the vectors (1,1,1,1,1),(1,0,1,0, 1), (0,1,1,1,0), (2,0,0,1, 1), (2,1,1,2,1),(1,-1,-1,-2,2) Find a basis for W and find the dimension of w.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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2. Let W be the subspace of R5 spanned by the vectors
(1,1,1,1,1), (1,0, 1,0,1),
(0,1,1,1,0), (2,0,0,1, 1),
(2,1,1,2,1),(1,-1,-1,-2,2)
Find a basis for W and find the dimension of W.
Transcribed Image Text:2. Let W be the subspace of R5 spanned by the vectors (1,1,1,1,1), (1,0, 1,0,1), (0,1,1,1,0), (2,0,0,1, 1), (2,1,1,2,1),(1,-1,-1,-2,2) Find a basis for W and find the dimension of W.
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