Question: (Calculus Required) Let V be the vector space of continuous functions with basis {sint, cos t}, and let L: V V be defined as

(Calculus Required) Let V be the vector space of continuous functions with basis {sint, cos t}, and let L: V → V be defined as L(g(t)) = g'(t). Is L diagonalizable?

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Yes Let S sin t cos t We first find a matrix A representing L We ... View full answer

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