Question: In Exercises, determine if the set of vectors S forms a subspace of the given vector space. Give reasons why S either is or is not a subspace.
Exercises: 1. S is the set of vectors of the form (x1, x2,..., xn) in Rn, with the xi real numbers and x1 + x2 + x3 +···+ xn = 2.
2. S is the set of vectors of the form (x1, x2,..., x6) in R6, with the xi real numbers and x1 = 0 or x6 = 0.