Question: if A1, A2, An are the eigenvalues of a matrix AMn (R) and f a real polynomial function, show that det (f (A)) =

if A1, A2, An are the eigenvalues of a matrix AMn (R)

if A1, A2, An are the eigenvalues of a matrix AMn (R) and f a real polynomial function, show that det (f (A)) = f (^1) f (X2) .... f (n)

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