Question: Verify the statements by providing justification for each statement. In each case, the matrices are square. If B = P -1 AP and x is

Verify the statements by providing justification for each statement. In each case, the matrices are square.

If B = P-1 AP and x is an eigenvector of A corresponding to an eigenvalue λ, then P-1 x is an eigenvector of B corresponding also to λ.

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