Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis for the subspace, using the method of transforming a matrix to echelon form, where the columns of the matrix represent vectors spanning the subspace. COL S= A basis is -3 16 80 What is the dimension of the subspace?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis for the subspace, using the method of
transforming a matrix to echelon form, where the columns of the matrix represent vectors spanning the subspace.
GOL
S=
A basis is
-3
16
20
What is the dimension of the subspace?
Transcribed Image Text:Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis for the subspace, using the method of transforming a matrix to echelon form, where the columns of the matrix represent vectors spanning the subspace. GOL S= A basis is -3 16 20 What is the dimension of the subspace?
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