Show that W={(x1,x2,x3,x4) : x4-x3=x2-x1} is a subspace of R^4 spanned by vectors (1,0,0,-1),(0,1,0,1),(0,0,1,1)
Show that W={(x1,x2,x3,x4) : x4-x3=x2-x1} is a subspace of R^4 spanned by vectors (1,0,0,-1),(0,1,0,1),(0,0,1,1)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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Show that W={(x1,x2,x3,x4) : x4-x3=x2-x1} is a subspace of R^4 spanned by
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