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Prove that the convex hull of a bounded set is bounded.

Theorem 9 in section 8.3 implies that conv $S \subset B(p, \delta)$ and conv $S$ isbounded.

Calculus 3

Chapter 8

The Geometry of Vector Spaces

Section 4

Hyperplanes

Vectors

Johns Hopkins University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

02:56

In mathematics, a vector (…

06:36

04:16

If $A$ and $B$ are convex …

05:16

Let $\mathbf{v}$ be an ele…

03:11

Find an example of a bound…

05:58

Let $f : \mathbb{R}^{n} \r…

04:51

If $c \in \mathbb{R}$ and …

03:38

Show that a finite nonempt…

07:12

Show that every nonempty f…

01:54

Find an example of a close…

04:25

a) Show that the least upp…

0:00

Use Theorem 3 to prove the…

Okay. So he will prove that the convicts hole all a bounce. It is bounded. So that s b abounded. Founded set. Then since our just rights properly founded sense. So since s is a bounce set that exists a delta well that there exists a radius Great. Enjoy such that this set s is contained in a bull centered at zero with various are now This ball is convex was continents Also we have that the convex home off s is a subset off the bull sent it at zero. Don't s there. Aw so therefore you're convicts. Come on Convicts Haul of s is also founded since it's contained in their bounds

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