Solve the given system of linear equations using the Gauss- Jordan Elimination.5.) x + 2y - 3z = 1 2x + 2y +3z = 2 x - y + z = 0See the example/format below... -3R2 + Ri 中Ri3-IR3+Riメ+ Oy + 2 313OK + y +0z 2OxtOy + 2 に3 2=3+0z=D2DY = 2%3Dそ=3%3D 2.) X+ 3y t Z = 10メ - 2y - 2 = -2x + y + 2z = 10Sol'n !2.10-2-6102 12.ー1R,+ Rz R2-2R, + R, D RgT0-2o -S-10R2<->Rg (swap)10ー10-5-16-2-5Rz- Rz D Rg310o-52.-10R2$ Rz-5R32.3102.1312|3.a- Mu

We have to solve the given system.

Answered: Solve the given system of linear…

Solve the given system of linear equations using the Gauss- Jordan Elimination. 5.) x + 2y - 3z = 1 2x + 2y +3z = 2 x - y + z = 0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 11AEXP

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Question

Solve the given system of linear equations using the Gauss- Jordan Elimination.

5.) x + 2y - 3z = 1
2x + 2y +3z = 2
x - y + z = 0

See the example/format below...

-3R2 + Ri 中Ri
3
-IR3
+Ri
メ+ Oy + 2 313
OK + y +0z 2
OxtOy + 2 に3 2=3
+0z=D2D
Y = 2
%3D
そ=3
%3D

2.) X+ 3y t Z = 10
メ - 2y - 2 = -
2x + y + 2z = 10
Sol'n !
2.
10
-2
-6
10
2 1
2.
ー1R,+ Rz R2
-2R, + R, D Rg
T0
-2
o -S
-10
R2<->Rg (swap)
10
ー10
-5
-16
-2
-5
Rz- Rz D Rg
3
10
o-5
2.
-10
R2
$ Rz
-5
R3
2.
3
10
2.
1
3
12
|
3.
a- Mu

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