Let B be obtained from A by permuting both its rows and columns using the same permutation , so bij a(i),(j) Prove that A and B have the same eigenvalues How are their eigenvectors related

Question: Let B be obtained from A by permuting both its rows and columns using the same permutation , so bij = a(i),(j). Prove that A

Let B be obtained from A by permuting both its rows and columns using the same permutation π, so bij = aπ(i),π(j). Prove that A and B have the same eigenvalues. How are their eigenvectors related?

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