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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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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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