Discrete Math: Binary Relations

Patroclus
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Homework Statement


A = {0, 1, 2, 3, 4 ,5}
Let R be a binary relation on set A such that:
R = {(0,1), (1,0), (1,3), (2,2), 2,1), 2,5), (4,4)}

a. Make a Directed Graph for the relation R on A
b. What must be added to R to make it reflexive/symmetric?
 
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Hi Patroclus - what work/ideas do you have?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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