Thursday, July 9, 2009

Let R be a symmetric relation defined on a set C. Prove or disprove R^5 is a symmetric relation.?

What form should this proof take? I'm not sure how to do it, should it be an inductive proof using matrices? Is there a more simple way to go about it?

Let R be a symmetric relation defined on a set C. Prove or disprove R^5 is a symmetric relation.?
i am not sure what R^5 is
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