The Cayley-Hamilton theorem from Linear Algebra states that if A is an n x n matrix with characteristic polynomial p(λ-det(A-AI) then p(A) 0, where the last 0 is the n × n zero matrix. Verify that Cayley-Hamilton holds for the matrix 2 -2 0 A 0 2 0 -2 2 2
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![The Cayley-Hamilton theorem from Linear Algebra states that if A is an n x n matrix
with characteristic polynomial p(λ-det(A-AI) then p(A) 0, where the last 0 is
the n × n zero matrix. Verify that Cayley-Hamilton holds for the matrix
2 -2 0
A 0 2 0
-2 2 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4aa5341f-3bcd-401e-8b0d-7704b9391f07%2F4b450d9a-7022-467e-b6cf-ca81f7fff91f%2F9gsfb1z.jpeg&w=3840&q=75)
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