Question: If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either prove that they do or give a counterexample.

If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either prove that they do or give a counterexample.
Let p(x) be the polynomial

The companion matrix of p(x) is the n Ã— n matrix

If A and B are two row equivalent matrices, do

P(x) =x', + an-ix" i+ +a,x + ao 4 0:00 0 0 1 0 1 0 0 ,1000

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