Let P denote the vector space of all polynomials with real coefficients and Pn be the...

Let P denote the vector space of all polynomials with real coefficients and P_n be the set of all polynomials in p with degree <= n.

a) Show that P_n is a vector subspace of P.

b) Show that {1,x,x²,...,xⁿ} is a basis for P_n.

Expert Solution

The solution is attached.

milcah answered 2 years ago

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