Question

Solve each system of equations by Gauss-Jordan elimination. $\left\{\begin{aligned} x+y+z+w & =0 \\ x+3 y+2 z+4 w & =0 \\ 2 x+z-w & =0\end{aligned}\right.$

   Solve each system of equations by Gauss-Jordan elimination.
$\left\{\begin{aligned} x+y+z+w & =0 \\ x+3 y+2 z+4 w & =0 \\ 2 x+z-w & =0\end{aligned}\right.$
Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 9, Problem 95 ↓
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Solve each system of equations by Gauss-Jordan elimination. $\left\{\begin{aligned} x+y+z+w & =0 \\ x+3 y+2 z+4 w & =0 \\ 2 x+z-w & =0\end{aligned}\right.$
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Danielle Fairburn
Ivan Kochetkov verified

James Kiss and 100 other educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Recommended Videos

-
solve-the-system-of-linear-equations-using-gauss-jordan-elimination-beginarrayrr-x-y-z-w-1-2-xyz2--2

Solve the system of linear equations using Gauss-Jordan elimination. $$ \begin{array}{rr} x-y-z-w= & 1 \\ 2 x+y+z+2 w= & 3 \\ x-2 y-2 z-3 w= & 0 \\ 3 x-4 y+z+5 w= & -3 \end{array} $$

Algebra and Trigonometry

Matrices

MATRICES AND SYSTEMS OF LINEAR EOUATIONS

solve-the-system-of-linear-equations-using-gauss-jordan-elimination-beginarrayrr-x-y-z-w-1-2-xyz2-w-

Solve the system of linear equations using Gauss-Jordan elimination. $$\begin{array}{rr} x-y-z-w= & 1 \\ 2 x+y+z+2 w= & 3 \\ x-2 y-2 z-3 w= & 0 \\ 3 x-4 y+z+5 w= & -3 \end{array}$$

Precalculus

Systems of Linear Equations and Inequalities

Systems of Linear Equations and Matrices

solve-the-system-of-linear-equations-using-gauss-jordan-elimination-beginarrayrr-x-3-y3-z-2-w-4-x2-y

Solve the system of linear equations using Gauss-Jordan elimination. $$\begin{array}{rr} x-3 y+3 z-2 w= & 4 \\ x+2 y-z & =-3 \\ x+3 z+2 w= & 3 \\ y+z+5 w= & 6 \end{array}$$

Precalculus

Systems of Linear Equations and Inequalities

Systems of Linear Equations and Matrices


*

Transcript

-
00:01 We're going to solve this using a calculator.
00:02 I'm using the decimal matrix calculator.
00:05 So we want a four row by five column because we have a system of four equations and four variables.
00:10 And we're going to augment this with the constant matrix.
00:12 So our first equation is 1x minus 1y minus 1 z minus 1 w equals 1.
00:24 2x plus 1y plus 1 z plus 2 w equals 3...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever