Question: kindly solve this correctly with step by step explanations Exercise 4.2 Vector Spaces Which of the following sets are vectors spaces? a) The set of

kindly solve this correctly with step by step explanations

kindly solve this correctly with step by step
Exercise 4.2 Vector Spaces Which of the following sets are vectors spaces? a) The set of points S = {(r, y) : y = I, IER). b) The set of points S = {(x, y) : y = 1/x}. c) The set of polynomials of infinite degree. d) The set of infinite sequences { I1, 12, 13, . . . } where each r; E R. e) The set of constant functions S = {f(x) : f(x) = c some fixed ce R} In each case assume that the scalar field for multiplication is the real numbers. Show your reasoning

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