domo2591 domo2591

06-06-2023
Mathematics

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Let U = F [x], the F vector space of polynomials in the variable
x having coefficients in F . Let T ∈ L(U, U ) be defined by T(f) = xf for all f ∈ F[x]. What is ker(T)? What is T(U)? Is T injective? Is T surjective?

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