Solve the system of linear equations using GAUSS-JORDANREDUCTION METHOD.Зx + 2у + 4z 3D 99x + y + 2z = 12х+ 2у — 8z %3D —17[XANS: X =-1[z.2

To find the solution of the linear non-homogenous equation AX=B, first calculate the rank of the…

Answered: Solve the system of linear equations…

Solve the system of linear equations using GAUSS-JORDAN REDUCTION METHOD. 3x + 2y + 4z = 9 9х + у + 2z %3 12 х+ 2у — 8z %3 —17 %3D = -

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 3CC: What is a system of linear equations in the variables x, y, and z?

See similar textbooks

Related questions

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 2y + z = 9 X…

A: Given equations are 2x+2y+z = 9x+z = 44y-3z= 15

Q: TO 1 1 3 2 -a 2 123 b 1 3 1 0 1 0 0 3. C Ld- 3 UAN со 2 4 5

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0 1/5x1 + 2/3x2 - 1/4x3 = -7 -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

Q: solve the given system of linear equations using Gauss-Jordan Elimination method. x+y-z=0…

Q: Use Gauss elimination to solve the following system of linear equations. 2.x + 3y + z = 2 x - y – 2z…

Q: Solve the system of linear equations using Gauss-Jordan elimination technique 2x − 3y + 4t = 2 −3x…

A: Explanation of the answer is as follows

Q: Solve the system of linear equations below using: 1. Gaussian Elimination 2. Gauss-Jordan Method 2w…

Q: Solve the system of linear equations and check any solution algebraically. 5x + 4y + 14z = 0 %3D 6x…

Q: 4 -1 1 3 (n). –1 7 3 X2 1 3 5 X3 1

Q: A4. Solve the following system of linear equations by using Gaussian Elimination method. 2x + y + 2z…

A: Solve the equation

Q: Solve for the system of linear equations using Gauss - Jordan Elimination Method. -x + 3y + 3z – w =…

A: The system of linear equations…

Q: Solve the system of linear equations using Gauss-Jordan Elimination. * + y + z=0 2a y+z 1 の+yー2z= 2

Q: Q5: Solve the given system of linear equations by Gauss Jordon method. х-у+3z311 Зx+4у+ z315 2х-…

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. x-2y=-7 2x+3y=14…

A: We have to find out solutions

Q: Solve the system of linear equations as shown using 1. Gauss elimination method, X1 - 3x2 + X3 =…

Q: Solve systems of linear equations by using a Gaussian elimination method, then by using a…

Q: Solve the given system of linear equations using Gauss elimination. 2х — Зу + z — 2w %3D — 12 3x + y…

Q: Use the Gauss-Jordan method to solve the system of equations. y = - 2+ x y =3+z Z = -1-x

A: Given: Given system of equation is y=-2+xy=3+zz=-1-x we can write system as x-y=2y-z=3x+z=-1

Q: Solve the given system of linear equations using Gauss-Seidel Method. The answer should have atleast…

Q: Solve the system of linear equations below by Gauss elimination method with pivoting. 2. X2 + + 6х,…

Q: Solve the system of linear equations using Gaussian Elimination method. x + y - z = -2 2x - y + z…

A: we have given the linear system of equation x+y-z=-22x-y+z=5-x+2y+2z=1 we have to solve the linear…

Q: SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS-JORDAN METHOD. 3a + 4b + 3c + 5d = 23 2a + 3b…

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. la +1 y + -7 z = 7…

A: Need to find solution of equation using gauss - jordan elimination method

Q: A4. Solve the following system of linear equations by using Gaussian Elimination method. 2x + y + 2z…

Q: Use Gauss-Jordan elimination to solve the following linear system. 2x + 2y - = 2 I - 3y +2 = -28 =…

A: topic - solution of equation using gauss jordan elimination

Q: Use Gaussian elimination to solve the system of linear equations.x − 2y = 5 3x + y = 1

A: Given a system of linear equation,

Q: By Gauss-lordan Method, solve the following system of linear equations. x+y+z+ w = 10 x- y+z-w = -2…

Q: Solve systems of linear equations by using a Gaussian elimination method, then by using a…

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x+ y− 2z= −10 x+…

Q: 6. If possible, solve the system of equations using Gauss-Jordan elimination. x- 2y+z =-6 3x - 5y…

Q: s Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2…

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. (If there is no…

Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form 3x…

Q: Solve the system of linear equations using Gaussian Elimination. 2x – 10z = 5 x+ y +z = 12 2x + 5y +…

A: The given system of equations is as follows. 2x-10z=5x+y+z=122x+5y+5z=4 Rewrite the above system in…

Q: 2. Solve the system of linear equations using Gaussian elimination. x- 2y+z = - 3 3x – 5y – 4z = 4…

Q: Solve the following system of linear equation by any method: x + 2y + 3z = 0 2x - 3y - 2z = 2 3x +…

Q: Solve the given system of linear equations using the Gauss-Jordan elimination method. x + 2y – 3z =…

A: The solution is given as

Q: b. Use the Gaussian Elimination method to solve the system of linear equations as follow. 2x1 X1…

Q: Use the Gauss-Jordan method to solve the system of equations y=1+1 y=5+z z=-2-x

A: The given equation are: y=1+1y=5+z z=-2-x To find the solution of the system of equations using…

Q: A. Solve the given systems of equation by Gaussian Elimination Method 3x + 4y – z = -6 -2y + 10z =…

A: Since you have asked multiple questions, we will solve first question for you. If you want other…

Q: Solve the linear system using Gauss-Jordan Method 2y + 5z - 3w = 16 2x + 3y + 32 + 4w = 110 2x + 5y…

Q: use row echelon form to solve the following system of linear equations 2x + 3y - w = 3 4x + 4y + z…

Q: Use the Gauss-Jordan method to solve the following system of equations. 5x - 3y+ 4z = 7 5x + 2y- 2z…

A: Answer

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 3y − 2z =…

A: For the solution follow the next step.

Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form…

Q: Solve the system of linear equations using GAUSS-JORDAN REDUCTION METHOD. 3x + 2y + 4z = 9 9х + у +…

A: We have a system of equations: 3x+2y+4z=99x+y+2z=12x+2y-8z=-17 We can write this system of equations…

Q: 2х + 4y + 8 z = 2 2х + 8y 2z = 4 3x + у + 2 z = 1

Q: Q5. Solve the following system of linear equations by (a) Gaussian Elimination Method. (b) Gauss -…

Q: Solve the system of linear equations below by Gauss elimination method with pivoting. 0 0 з 4 8, 2 9…

Question

Solve the system of linear equations using GAUSS-JORDAN
REDUCTION METHOD.
Зx + 2у + 4z 3D 9
9x + y + 2z = 12
х+ 2у — 8z %3D —17
[X
ANS: X =
-1
[z.
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Introduction

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Systems of Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?
Use Cramers Rule to solve the system of linear equations for x and y. kx+(1k)y=1(1k)x+ky=3 For what values of k will the system be inconsistent?
Determine the values of k such that the system of linear equations does not have a unique solution. x+y+kz=3x+ky+z=2kx+y+z=1
Use Gaussian elimination to find the complete solution of the system, or show that no solution exists. {2x3y+z=3x+2y+2z=14x+y+5z=4
Find if possible values of a,b, and c such that the system of linear equations has a no solution, b exactly one solution, and c infinitely many solutions. 2xy+z=ax+y+2z=b3y+3z=c
What is a system of linear equations in the variables x, y, and z?