Suppose X = Rk+, for some k ≥ 2, and define x = (x1,...,xk) ≽ y = (y1,...,yk) if x ≥ y; that is, if for all l = 1, ..., k, xl ≥ yl. Show that ≽ is transitive but not complete
Suppose X = Rk+, for some k ≥ 2, and define x = (x1,...,xk) ≽ y = (y1,...,yk) if x ≥ y; that is, if for all l = 1, ..., k, xl ≥ yl. Show that ≽ is transitive but not complete
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose X = Rk+, for some k ≥ 2, and define x = (x1,...,xk) ≽ y = (y1,...,yk) if x ≥ y; that is, if for all l = 1, ..., k, xl ≥ yl. Show that ≽ is transitive but not complete
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