Let m, n be integers. A relation Rm,n on Z is defined as follows: for a, b ∈ Z, if
there exists an integer k such that ma + nb = (m + n)k, then (a, b) ∈ Rm,n.
(a) Prove Rm,n is an equivalence relation.
(b) Write down a quotient set for R3,1.
Let m, n be integers. A relation Rm,n on Z is defined as follows: for a, b ∈ Z, if
there exists an integer k such that ma + nb = (m + n)k, then (a, b) ∈ Rm,n.
(a) Prove Rm,n is an equivalence relation.
(b) Write down a quotient set for R3,1.
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Let m, n be integers. A relation Rm,n on Z is defined as follows: for a, b ∈ Z, if
there exists an integer k such that ma + nb = (m + n)k, then (a, b) ∈ Rm,n.
(a) Prove Rm,n is an equivalence relation.
(b) Write down a quotient set for R3,1.