(a) Let x1,.., Xn+2 € R". Show that there must exist some sets A and B such tha i. ANB=Ø, ii. AUB= {x1,..., Xn+2} , and iii. conv(A) N conv(B) + Ø. (Hint: Use the idea of linear dependence.) %3D
(a) Let x1,.., Xn+2 € R". Show that there must exist some sets A and B such tha i. ANB=Ø, ii. AUB= {x1,..., Xn+2} , and iii. conv(A) N conv(B) + Ø. (Hint: Use the idea of linear dependence.) %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 10EQ
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