A First Course in Linear Algebra · Problem SLT-C30

Linear Transformations — Robert Beezer

Mathematics — Linear Algebra · range-surjective-linear-transformations

Problem

Let T:P4→P3T: P_4 \to P_3 be given by T(p(x))=p′(x)T(p(x)) = p'(x), where p′(x)p'(x) is the derivative. Find a basis of R(T)\mathcal{R}(T). Is TT surjective?

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