Give an extremely detailed and well-organized proof showing that the following mapping is a vector space homomorphism. Address the two operations separately, as we have done in class. Do not use the theorem that deals with linear combinations. Do not combine the use of properties in a single step. d a + b Ф: Рз — М22 defined by Ф(a + bx + сx? + dx3) - - d С — a

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