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. dd o vector to the family above so that the above family plus your vector can span R

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. dd o vector to the family above so that the above family plus your vector can span R

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Please answer this question very clearly with all steps and explanations, thanks in advance

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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