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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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