MATH 404 Study Guide - Midterm Guide: Scalar Multiplication, Linear Combination, Horse Length

• School: University of Maryland
• Department: Mathematics
• Course: MATH 404
• Professor: All

Document Summary

For example, f (x) = x + 1 s because f (0) = 1 is an integer. But f (x) 6 s if is any real number which is not an integer since f (0) = . (b) t is a subspace. It is non-empty since f (x) = 0 is in t . It is closed under addition because if f (x), g(x) t , then f (3) + g(3) = 0 + 0 = 0 so f (x) + g(x) t . It is closed under scalar multiplication because if f (x) t and r, then f (3) = 0 = 0 so that. F (x) t . (a) suppose that c1, c2, c3 f with c1f1(x) + c2f2(x) + c3f3(x) = 0.