Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

In Exercises 5 and $6,$ determine whether or not each set is compact and whether or not it is convex.Use the sets from Exercise 4

No Answer

Calculus 3

Chapter 8

The Geometry of Vector Spaces

Section 4

Hyperplanes

Vectors

Campbell University

Oregon State University

University of Nottingham

Boston College

Lectures

02:56

In mathematics, a vector (…

06:36

00:11

In Exercises 5 and 6, dete…

02:10

00:48

Mark each statement True o…

01:25

In Exercises 29–32, conver…

01:19

01:44

In Exercises $33-38$ , det…

05:50

In Exercises $5-8,$ find t…

01:51

In Exercises 7 and $8,$ de…

02:44

In Exercises $1-6,$ determ…

01:10

In Exercises 5 and $6,$ us…

okay, Inspection. We want to see if sets are either compact and or convicts. So this first set let us destroy that we have just This circle is just slightly so in. This vessel is compact. It is, by definition of compact. It must be closed and bounded. He's very obviously bounded because you can see it and it's very obviously toys as well. It is not, however, convex. He's not convicts, because let us choose this point, this point here and this point here. And when we draw a straight line between them to put a straight line, we we are not in the set anymore, so it's not convicts this question. There's four again. What's this? You know everything. The pistol is not combat. It is not because it's not closed. It's not close because of the blood lines here, and it's not bounded. So obviously is not humble. It is also not convicts, because if you choose, you choose a partner. Yeah, in the straight line. Joined them, too, is not in the sand. So these find these points right here. I'm not the same. This question journalists. Again, we have a bottle on my party lines here and we have a voice up here. It's everything in this region. So it is not combat. No, no, because it is not. It is not close because of this bottom line. Here it is calmness, because no matter how you treat two points in this set, you will always well with me. It's over this question going now. Open, son. It's closed. She's trouble off. And then meanwhile, greater. So it's everything off. Yeah, so isn't no compact. It is closed. It is closed because we extend region to infinity. It's not. Compact is locked down. It is convex because what's again? No matter how you treat two points, your boy's lying inside the sets, this question and lines to go down. This is so cool local because it's not close with dog line ends. No family because we extended myself eating. Is it also not complex Kong, Becks? Because we can choose this point here on this point here, drawing a straight line between two. We obviously unlocking this annual Yeah,

View More Answers From This Book

Find Another Textbook

In mathematics, a vector (from the Latin word "vehere" meaning &qu…

In mathematics, a vector (from the Latin "mover") is a geometric o…

In Exercises 5 and 6, determine whether the two vectors are orthogonal and, …

Mark each statement True or False. Justify each answer.a. A set is conve…

In Exercises 29–32, convert to inequality notation. Find the endpoints and s…

In Exercises $33-38$ , determine whether $\mathbf{u}$ and $v$ are orthogonal…

In Exercises $5-8,$ find the minimal representation of the polytope defined …

In Exercises 7 and $8,$ determine whether $\left\{a_{n}\right\}$ and $\sum a…

In Exercises $1-6,$ determine if the set of points is affinely dependent. (S…

In Exercises 5 and $6,$ use the vertical line test to determine whether each…

06:21

a. A polytope is the convex hull of a finite set of points.b. Let $\math…

02:00

Perform the indicated operations and write the result in simplest form.$…

00:44

Find the value of each given expression.$|8-3|$

06:55

Classify the quadratic forms in Exercises $9-18 .$ Then make a change of var…

01:34

Suppose $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\}$ is a…

07:53

Construct a spectral decomposition of $A$ from Example 2

09:15

In Exercises 19 and $20,$ all vectors are in $\mathbb{R}^{n} .$ Mark each st…

01:20

Determine which of the matrices in Exercises $1-6$ are symmetric. $$…

In Exercises 11 and $12,$ mark each statement True or False. Justify each an…

02:36

Solve for the variable and check. Each solution is an integer.$y(y+2)-y(…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.