let r be the relation on s 1 3 6 9 27 defined by
Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b.
(a) Write down the matrix of R.
(b) Draw the digraph of R.
(c) Explain whether R is reflexive, irrereflexive, symmetric, antisymmetric, transitive. Describe!
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find the number of six-digit positive integers that can be formed using the digits 12 3 4 and 5 every of which may be repeated if the number must
let a0 a1 be the series recursively defined by a0 1 and an 3 an-1 for n ge 1a compute a1 a2 a3 and a4b compute a formula for an n ge 0c use
a let n abc7 prove that n equiv a b c mod 6b use congruences to show that 432n - 1 for all integers n ge
let r be the relation on s 1 2 3 4 5 defined byr 13 1 1 3 1 1 2 3 3 4 4b write down the matrix of rc draw the digraph of rd explain whether r is
let r be the relation on s 1 3 6 9 27 defined by arb iff aba write down the matrix of rb draw the digraph of rc explain whether r is reflexive
let r be the relation on z defined by arb iff gcda b 1 that is a and b have no common divisors greater than oneexplain whether r is reflexive
implement multiple stacks in a single dimensional array write algorithms for various stack operations for
a let v f1 2 7g and define r on v by xry iff x - y is a multiple of 3 you should know by now that r is an equivalence relation on v suppose
a how many equivalence relations on a b c d e f haveb how many arrangements are there ofc how many triangles are resolute by the vertices of
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