Use the Cayley-Hamilton theorem (Theorem 5.23) to prove its corollary for matrices
Chapter 5, Problem 15(choose chapter or problem)
Use the Cayley-Hamilton theorem (Theorem 5.23) to prove its corollary for matrices. Warning: If f(t) = det (.A tl) is the characteristic polynomial of A, it is tempting to "prove" that f(A) = O by saying u f(A) = det(A - AI) = det(O) = 0." But this argument is nonsense. Why?
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