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Suppose A is diagonalizable and p (t) is the
Chapter , Problem 7E(choose chapter or problem)
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.
Questions & Answers
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