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 $6,$ follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form. $$\begin{aligned} x_{1}+3 x_{2}+x_{3} &=0 \\-4 x_{1}-9 x_{2}+2 x_{3} &=0 \\-3 x_{2}-6 x_{3} &=0 \end{aligned}$$

See Answer

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 5

Solution Sets of Linear Systems

Introduction to Matrices

Missouri State University

Campbell University

Oregon State University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

04:53

In Exercises 5 and $6,$ fo…

04:10

In Exercises $7-12$ , desc…

04:08

06:17

As in Exercise $15,$ descr…

01:07

In Exercises 5 and $6,$ wr…

01:54

In Exercises 9 and 10, wri…

04:06

07:25

03:23

07:52

Okay. Be able to find the solutions have given homogeneous system in parameter vector form. So given situations are x one plus three x two plus X three equals to zero minus four x one minus nine. Next two plus two extra equals to zero minus three X two minus six x three close to zero. Okay, so we have, right. Same in metrics. Phones, metrics one. We can write it as 1310 minus four minus nine 200 minus three minus 60 Okay, now we have to solve this equation. Or that we will do R two equals two R two plus four other one. Okay, for after doing that, we get 1310 This will be same in the art to that will get 03600 minus three minus 60 It will be same now we will further sold it. We will do. Our one equals two r one minus are too. And for our three, we will do our three plus our too. Then what we get? We get one Zito minus 50 Zito titty 600000 Okay, now we will do our two equals toe are two by three. Okay, so what? We get 10 minus 50 01200000 Okay, so what? We get in vinyl desecration. So, for this occasion, we can write that excellent minus five. X three equals to zero. Okay, this will be component off x one. And this will be for exterior. Okay, For the same in the second row, we can write that x two plus two x three close to zero on from 3rd 00 Quest to zero. Okay. On the variable X rays free. You know, X rays free. So in the way, we will get the value of X one in the term off X three like this and XTO in the term off extra. Okay, so what? What we get in the final regard. Keep the legs equals two. We know x one x two and x three and this will be five x three minus two x three and extra. Okay. Actually, it will be minus tree. Okay on. And now they will take X three comin out off this and what we get. Five minus two and one. And this will be over. Final answer. Thank you.

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

In Exercises 5 and $6,$ follow the method of Examples 1 and 2 to write the s…

In Exercises $7-12$ , describe all solutions of $A \mathbf{x}=0$ in parametr…

As in Exercise $15,$ describe the solutions of the following 65 system in pa…

In Exercises 5 and $6,$ write a system of equations that is equivalent to th…

In Exercises 9 and 10, write a vector equation that is equivalent to the giv…

02:18

Let $\mathbf{v}$ be the center of mass of a system of pointmasses locate…

00:45

Simplify each expression. Write all answers with only positive exponents. As…

03:04

$[\mathbf{M}]$ Let $\mathbf{b}=\left[\begin{array}{c}{-7} \\ {-7} \\ {13} \\…

02:40

In Exercises $25-28$ , determine if the specified linear transformation is (…

02:20

Rewrite the (numerical) matrix equation below in symbolic form as a vector e…

08:12

Let $A=\left[\begin{array}{rrr}{1} & {0} & {-4} \\ {0} & {3} &am…

03:52

Copy and complete the tables for the regular polygons shown. In these tables…

03:45

In Exercises $17-20,$ show that $T$ is a linear transformation by finding a …

02:12

Let $A=\left[\begin{array}{ccc}{5} & {0} & {0} \\ {0} & {.5} &am…

02:24

Could a set of three vectors in $\mathbb{R}^{4}$ span all of $\mathbb{R}^{4}…

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.