1. Let n E N and suppose X is a set with n elements. Define V as the set of all functions f : X → C. The set V together operations + and . described below (f + g)(x) = f(x) + g(x) VxEX, (c. f)(x) = c f(x) Vc E C and Vx EX forms a vector space. Find a basis of the vector space V.
1. Let n E N and suppose X is a set with n elements. Define V as the set of all functions f : X → C. The set V together operations + and . described below (f + g)(x) = f(x) + g(x) VxEX, (c. f)(x) = c f(x) Vc E C and Vx EX forms a vector space. Find a basis of the vector space V.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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