💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Use the terminology from Section 8.2Repeat Exercise 7 for $T=\left\{\left[\begin{array}{l}{2} \\ {0}\end{array}\right],\left[\begin{array}{l}{0} \\ {5}\end{array}\right],\left[\begin{array}{r}{-1} \\ {1}\end{array}\right]\right\}$ and $\mathbf{p}_{1}=\left[\begin{array}{l}{2} \\ {1}\end{array}\right], \mathbf{p}_{2}=\left[\begin{array}{l}{1} \\ {1}\end{array}\right], \mathbf{p}_{3}=\left[\begin{array}{c}{1} \\ {\frac{1}{3}}\end{array}\right],$ and $\mathbf{p}_{4}=\left[\begin{array}{l}{1} \\ {0}\end{array}\right]$

$p _ { 1 }$ and $p _ { 4 }$ are outside conv $T ,$ because they both coutain negative coefficient.$p _ { 2 }$ is inside conv $T ,$ because barycentric coordinates are all positive.$p _ { 3 }$ is on the edge $\overrightarrow { v _ { 1 } + 3 }$ of conv $T$ becaunates ne all positive.are positive.

Calculus 3

Chapter 8

The Geometry of Vector Spaces

Section 3

Convex Combinations

Vectors

Missouri State University

Harvey Mudd College

University of Nottingham

Boston College

Lectures

02:56

In mathematics, a vector (…

06:36

01:34

Solve. See Examples 1 thro…

00:25

Identify each as an expres…

00:57

Solve each equation and ch…

01:56

$$\text { In Exercises } 1…

04:01

Solve. See Examples 4 and …

05:45

If the exercise is an equa…

00:32

Evaluate each expression f…

00:39

Solve each equation, and c…

01:59

Solve.$$2(t-5)-3(2…

01:40

doesn't solve these. We construct the matrix V one to the visa to go victory Thio though p one. Seal the pizza Thio the Peter it to the P Ford C with the recorder for the Tudors. Just add one of the last room. So v one pseudo would be sue zero than at Wan. This will be the next one would be 05 then. Won't you have a minus one one than the one you have to? 11 Want? Want, want? Want Want over 31101 No. What if you're wrong? Reduced these. We'll reduce. You're gonna have want 00010001 You have it solved. Over 13 three over. Third scene minus two over 13. It's over 13. Sue over thirds in three over 15. Sue over 30 won over three nine overthe it seen minus one over third scene under five overthe It's in from here. We see that quarter. This is the P one. So this is pure Juan Ginsu pit three. Before so we have the p one will be go to soft over fits in view one lost three over 15 will be too minus two over 13 V three. If you adequate fish into after off the feds in Blustery over Third St minus two about that scene it sums up. So one bods P one is not in the convicts. All off, see, because it's as in negative coefficients, which is minus two. But that's in if you do this. Lt for pizza you have pizza. Will be eight of a 15 v Juan. Plus two over that scene. V two blustery over that scene, V three, less rights P three out. Stop it! Sue over three V one plus zero vid Sue Plaza one about three. V three and they have the P four is nine over. This is it. Soup. That's nine over. Third scene V one miners want over that scene v TSU plus five over fixing the three. Now. From these, we can see that's on this is it without that scene plus two over 13 blustery over that scene that's in court. So one right on. Then we have that each off the coefficients is positive. You So this implies that pizza Ooh is in the convicts. All off. See, we see that people for people we have nine of 1/3 scene, minus one of a 15 plus five over 13 which is a supporter. One but P four is not in the convicts all off see, because off negative coefficients, because it asks in negative coefficients, which is minus one of the Fed scene. So they ordered the last thing we need to look at this p three with C duds. P three is on the edge off the line segments V one, V three off the convicts, all of C. Why? Because the second coordinates, As you can see, the second coordinates he's zero waas all does are positive.

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…

Solve. See Examples 1 through 7$$-3(2 t-5)+2 t=5 t-4$$

Identify each as an expression or an equation. $$7 t-2=11$$

Solve each equation and check your answer.$$8(3 t+4)=10 t-3+7(2 t+5)$$

$$\text { In Exercises } 1-14, \text { solve the system of equations using t…

Solve. See Examples 4 and 5.$$1+\frac{2}{3 t-2}=\frac{8}{(3 t-2)^{2}…

If the exercise is an equation, solve it and check. Otherwise, perform the i…

Evaluate each expression for the given values of the variables.$(r-t)^{2…

Solve each equation, and check your solution. See Examples 1–10.$$8(t-3)…

Solve.$$2(t-5)-3(2 t-7)=12-5(3 t+1)$$

01:08

The sample covariance matrix is a generalization of a formula for the varian…

03:15

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

12:26

[MJ Use the method in this section to produce a QR factorization of the matr…

04:16

If $A$ and $B$ are convex sets, prove that $A+B$ is convex.

02:09

$A$ is an $m \times n$ matrix with a singular value decomposition $A=U \Sigm…

01:54

Find an example of a closed convex set $S$ in $\mathbb{R}^{2}$ such that its…

02:14

Repeat Exercise 15 for the following SVD of a $3 \times 4$ matrix $A :$$…

04:37

Show that if an $n \times n$ matrix $A$ is positive definite, then there exi…

Solve and check each of the equations.$x(x+7)-2=28$

00:52

The space is $C[0,2 \pi]$ with the inner product $(6)$.Find the third-or…

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.