3. Properties of Affine Sets. Suppose C c R" is an affine set. (a) Consider K points x1,. ...., Xk E C. Show that 0;x; € C, for >0; = 1,0; e R i=1 i=1 (b) Consider the set S = {x – y, x, y e C}. Show...

Please solve both part and correct answer otherwise dislike0; = 1,0; e R i=1 i=1 (b) Consider the set S = {x – y, x, y e C}. Show S is a subspace. "/>
Extracted text: 3. Properties of Affine Sets. Suppose C c R" is an affine set. (a) Consider K points x1,. ...., Xk E C. Show that 0;x; € C, for >0; = 1,0; e R i=1 i=1 (b) Consider the set S = {x – y, x, y e C}. Show S is a subspace.