A set S R^n is convex if for all x, y S and t [0, 1], we have (1 t)x + t y S (in other words, if S contains the points x and y, it contains the entire line segment between them). (a) If W R^n is a subspace, prove that W is convex. (b) Give an example of a subset S R^2 which is convex but not a subspace

Answer rating: 100% (QA)

a To prove that a subspace W CR is convex we need to show that for all x ... View the full answer