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29-03-2024
Mathematics

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Consider the linear transformation T:P_(2)(F)→P_(2)(F) defined by T(p(z))=p(z)+(d)/(dz)p(z), where as per usual P_(2)(F)=az²+bz+c:a,b,cinF. (a) Find a basis for Im(T). (b) What is dim_(F)Ke?

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