Find a basis for the following subspace: W₁ = span{[1, 0,-1, 2], [4, 1, -6, 7], [1, 2, -5, 0], [1, 1, -3, 1]} For example, if your basis is the two vectors [1,2,3] and [4, 5, 6], you would enter [1,2,3].[4,5,6]

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 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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Find a basis for the following subspace:
W₁ = span{[1, 0, -1, 2], [4, 1, -6, 7], [1, 2, -5, 0], [1, 1, -3, 1]}
For example, if your basis is the two vectors [1,2,3] and [4, 5, 6], you would enter [1,2,3],[4,5,6]
Transcribed Image Text:Find a basis for the following subspace: W₁ = span{[1, 0, -1, 2], [4, 1, -6, 7], [1, 2, -5, 0], [1, 1, -3, 1]} For example, if your basis is the two vectors [1,2,3] and [4, 5, 6], you would enter [1,2,3],[4,5,6]
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