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pojnt let pn be the vector space of all polynomials of degree n or less in the variable xlet d p4 pz be the linear transformation that takes a polynomial to its second derivative that is d p 19138
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(100 points) Determine whether the given set S is a subspace of the vector space V.A. V is the vector space of all real-valued functions defined on the interval (-∞,∞), and S is the subset of V consisting of those functions satisfying f(0) = 0.B. V = P3, and S is the subset of P3 consisting of all polynomials of the form p(x) = ax^3 bx.C. V = C1(R), and S is the subset of V consisting of those functions satisfying f'(0) ≥ 0.D. V = Mn(R), and S is the subset of all upper triangular matric
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Is the given set (taken with the usual addition and scalar multiplication) a vector space? (Give a reason.) If your answer is yes, find the dimension and a basis.All polynomials with positive coefficients and degree 3 or less. | Numerade
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Answered: 4. In a vector space V, if the vectors a, b, and c span V, then the dimension of V must be equal to 3. 5. The set of polynomials in x of degree at most 5 form a… | bartleby
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