a State and prove the Cayley Hamilton The b Let T be a linear operator defined on a vector space V F for n Zt Let A be a matrix

Question

a State and prove the Cayley Hamilton The b Let T be a linear operator defined on a vector space V F for n Zt Let A be a matrix representation for T with respect to some basis for V i Prove that the minimum polynomial of a linear operator T is well defined Hint Prove existence and uniqueness 7 marks ii Shout that is an oigonumlue of the linear operator A if and only if

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