Consider the vectors [1,0,0, -1]; [0, 1, 1, 0]; [1, 1, 1, 1]; [1, 1, 1, 0] (a) Show that they do not span the vector space R, by giving a vector that does not belong to the span. (b) Add a vector to the family above so that the above family plus your vector can span Rª

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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Consider the vectors [1,0,0, -1]; [0, 1, 1, 0]; [1, 1, 1, 1]; [1, 1, 1, 0]
(a) Show that they do not span the vector space R, by giving a vector that does not belong
to the span.
(b) Add a vector to the family above so that the above family plus your vector can span Rª
Transcribed Image Text:Consider the vectors [1,0,0, -1]; [0, 1, 1, 0]; [1, 1, 1, 1]; [1, 1, 1, 0] (a) Show that they do not span the vector space R, by giving a vector that does not belong to the span. (b) Add a vector to the family above so that the above family plus your vector can span Rª
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