Write the augmented matrix for eachof the following systems.Jy = 2x +14.ly = 4x – 2Jx+3y = 5\x – 2y = 11.fx = 3y5.y = 2x + 5fx-y = 02.\x+y = 4x+ 2y + 3z = 0Зх — у— 2%3D26х + 3у + 2%3D16.Jx-y = 03.\x+y = 4 262CHAPTER 3. SYSTEMS OF LINEAR EQUATIONSSolve the following using Gauss-Jordan(4х — у-2 13Elimination.= 10x+ 2y – zx- y+z-429.(x+y+z = 327. {x-y - z= -1(x+y-z= 1x+ 2y + 3z = 83x + 2y + z = 3бх + 4y — z 3(6х + 6у - 52 %3D028.x+ y - z = 230.2x+ y+ z = 5

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Write the augmented matrix for each of the following systems. Jx+ 3y = 5 1. \x – 2y = 1 fx- y = 0 2. |x+y = 4 [x- y = 0 3. \x+y = 4

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 88E

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Question

Write the augmented matrix for each
of the following systems.
Jy = 2x +1
4.
ly = 4x – 2
Jx+3y = 5
\x – 2y = 1
1.
fx = 3y
5.
y = 2x + 5
fx-y = 0
2.
\x+y = 4
x+ 2y + 3z = 0
Зх — у— 2%3D2
6х + 3у + 2%3D1
6.
Jx-y = 0
3.
\x+y = 4

262
CHAPTER 3. SYSTEMS OF LINEAR EQUATIONS
Solve the following using Gauss-Jordan
(4х — у-2 13
Elimination.
= 10
x+ 2y – z
x- y+z-4
29.
(x+y+z = 3
27. {x-y - z= -1
(x+y-z= 1
x+ 2y + 3z = 8
3x + 2y + z = 3
бх + 4y — z 3
(6х + 6у - 52 %3D0
28.
x+ y - z = 2
30.
2x+ y+ z = 5

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