MATH 2574H Lecture Notes - Opata Language
Document Summary
Something where you add stuff together and can multiply by constant not a vector space where c is any constant. If u and v are in your vector space u + (v + w) = (u + v) + w c(u + v) = cu + cv. U = addative inversenot necessarily when all of #s in u are negated c and d are constants. Let"s say we have positive set addition: u + v = uv. Also need to show that and u is a subspace, so. But what if vector space is [all real #s] = w. U = r[all real #s]it"s a subspace but v = {1} so u[intersect] v = {1} 10*1 = 10 which isn"t in our subspace. 1 + 1 = 2 which isn"t in subspace to check that if it"s a subspaceknow that subspace always has the 0 vector as shown by rule 2if u is in thereneed 0*u which = 0.
