Thread: Need help with determining if a set is a vector space.

Let V = {0,1,2} with addition defined by mod 3 and scalar multiplication given by ku=u^k mod 3 for all K is an element of real numbers, u is an element of V. Is the set V a vector space?

am I supposed to set u= <u₁,u₂,u₃> and then go through all the axions to determine whether if it's a vector space?

Originally Posted by bakinbacon

Let V = {0,1,2} with addition defined by mod 3 and scalar multiplication given by ku=u^k mod 3 for all K is an element of real numbers, u is an element of V. Is the set V a vector space?

Are you sure k is a real number? Then 2^1/2 is not in V.