KellaDaStudent9159 KellaDaStudent9159

13-05-2023
Mathematics

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problem 7. prove or disprove: if r is a partial order on a set a, then the symmetric closure of r is an equivalence relation.

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Other Questions

let r be a partial order on set s, and t ⊆ s. suppose that a is greatest in t. prove that a is maximal in t

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consider the function f : n → n given by f(n) = n(n 1) 2 . prove that f is injective and not surjective

let r1,r2 both be the usual order ≤on n. let t = {(1,3),(2,2),(4,1)}. identify any greatest and maximal elements in t, in the lex order on n ×n.

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The given vector functions are solutions to the system x'(t)=Ax(t). 2t 8t6 x1 = e x2 = e Determine whether the vector functions form a fundamental solution set.