Question: 2. Let T be a linear operator on a finitedimensional vector space V, and let be an ordered basis for V. (1) Prove that is

2. Let T be a linear operator on a finitedimensional vector space V, and let be an ordered basis for V. (1) Prove that is an eigenvalue of T if and only if is an eigenvalue of [T]. (2) Prove that v is an eigenvector of T corresponding to if and only if [v] is an eigenvector of [T] corresponding to

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