a) Determine whether the relation R represented by the given matrix is a partial order: 1...

 

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a) Determine whether the relation R represented by the given matrix is a partial order: 1 1 0 0 01 0 10 0 0 MR = [aj] = |1 1 1 1 1 0 0 0 1 0 11 Lo o 0 1 b) Find, if exists, the inverse of the function f:z z, where f(n) = n mod 10. c) Show that f: R R defined as f(a) = 3a3-4 is a one to one function. a) Determine whether the relation R represented by the given matrix is a partial order: 1 1 0 0 01 0 10 0 0 MR = [aj] = |1 1 1 1 1 0 0 0 1 0 11 Lo o 0 1 b) Find, if exists, the inverse of the function f:z z, where f(n) = n mod 10. c) Show that f: R R defined as f(a) = 3a3-4 is a one to one function.

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a A relation R is partial order on a set S if it satisfies 1 Reflexivity aRa for all aS 2Anti symmet... View the full answer