Suppose A is diagonalizable and p (t) is the

Chapter , Problem 7E

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QUESTION:

Suppose A is diagonalizable and p(t) is the characteristic polynomial of A. Define p(A) as in Exercise 5, and show that p(A) is the zero matrix. This fact, which is also true for any square matrix, is called the Cayley–Hamilton theorem.

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QUESTION:

Suppose A is diagonalizable and p(t) is the characteristic polynomial of A. Define p(A) as in Exercise 5, and show that p(A) is the zero matrix. This fact, which is also true for any square matrix, is called the Cayley–Hamilton theorem.

ANSWER:

Solution 7E

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