Question

Prove the following facts about eigenvalues of graphs. If G has at least one edge, then...

Prove the following facts about eigenvalues of graphs.

If G has at least one edge, then it has a negative eigenvalue.

Please teach me to understand this problem. Do not just put a formula and expect me to understand it. Please explain every step of the way from beginning to end with examples. I want to learn and understand this question so giving me just the answer is not going to work. Thank you

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