Let Pn = span(1, t, . . . , tn) denote a real-valued vector space of polynomials of degree less than, or equal to, n, where n is a nonnegative integer and t R. A generic polynomial in Pn can be expressed as follows: p(t) = En i=0 pi t^i = [1 t t^n] f^T(t) [p0 p1 . . . pn] p = f^T(t)p, where f(t) R^n+1 denotes the vector of monomials (you can think of it as a vector-valued function of t), p R^n+1 denotes the vector of the coefficients, and T denotes transpose. Determine dim Pn, the dimension of the vector space Pn