Deal with the following concepts: A point p is called a positive combination of the points v

Question:

Deal with the following concepts: A point p is called a positive combination of the points v1,........., vk if p = c1v+..........+ckvk, with all c≥ 0. The set of all positive combinations of points of a set S is called the positive hull of S and is denoted by pos S.

Let S be a nonempty convex subset of Rn. Prove x∈ pos S if and only if x = s for some λ ≥ 0 and some x in S.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

Question Posted: