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Suppose the Jordan form of an operator T ∈ L(V ) consists

Suppose the Jordan form of an operator T ∈ L(V ) consists of Jordan blocks of sizes 3 × 3, 4 × 4, 1 … Show more Suppose the Jordan form of an operator T ∈ L(V ) consists of Jordan blocks of sizes 3 × 3, 4 × 4, 1 × 1, 5 × 5, 2 × 2, corresponding to eigenvalues λ1, λ2, λ3, λ2, λ1, respectively. Assuming that λi /= λj for i /= j, find the minimal and the characteristic polynomial of T. (Note that I used /= here for “not equals” because I couldn’t find the correct latex representation) Thanks! • Show less


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