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  3. a state and prove the cayley hamilton the b let t

a State and prove the Cayley Hamilton The b Let T be a linear operator...

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Algebra

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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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