MATH 311 Lecture Notes - Lecture 6: Scalar Multiplication, Linear Combination, Cross-Linked Polyethylene
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311 : week # 6: dr . 10:50am c ms 528 : this week. V if it is itself a vector space under the addition and scalar multiplication defined on. V is a subspace satisfies the following : Example i : which of the following are subspaces of. Pn denote the set of polynomials of degree at. , x t t an x ao . Let c" c - a no ) denote the set of functions with continuous derivatives on. Itg is a vector of the form aft toy for: be tk. { i at 3 is the set of all linear combinations of ta . a tn : e . span e a tn} via, i taek t tant ai er } Show pz = span { i: xzj . Does mzz = span e ai , az .