Using Gauss-Jordan Reduction x+ y + 2z= -1 1.1 x - 2y + z = -5 3x + y+ z = 3 [1 1 1: 01 1 1 0: 3 1] 1.2 Lo 1 1 :

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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II.
Solve the following linear system using the indicated method.
1.
Using Gauss-Jordan Reduction
x+ y + 2z = -1
1.1
x - 2y + z = -5
3x + y+ z = 3
1 :
[1
1
1
01
0: 3
1.
1
1.2
Lo
1 :
2. Using Gaussian Elimination
x+ 2y + 3z + w=8
2.1
x+ 3y + w = 7
x+2z + z = 3
2.2 х + 2у —z — 2w 3 2
2х + у — 2z + 3w 3D 2
x + 2y + 3z + 4w = 5
4x + 5у — 4z — w %3D 6
-
Transcribed Image Text:II. Solve the following linear system using the indicated method. 1. Using Gauss-Jordan Reduction x+ y + 2z = -1 1.1 x - 2y + z = -5 3x + y+ z = 3 1 : [1 1 1 01 0: 3 1. 1 1.2 Lo 1 : 2. Using Gaussian Elimination x+ 2y + 3z + w=8 2.1 x+ 3y + w = 7 x+2z + z = 3 2.2 х + 2у —z — 2w 3 2 2х + у — 2z + 3w 3D 2 x + 2y + 3z + 4w = 5 4x + 5у — 4z — w %3D 6 -
3.
Determine if the given homogeneous system has a trivial solution.
x + 2y + 37 = 0
%3D
3.1
x + y +z=0
x + y+ 2z=0
x+ 3y + 3z = 0
Transcribed Image Text:3. Determine if the given homogeneous system has a trivial solution. x + 2y + 37 = 0 %3D 3.1 x + y +z=0 x + y+ 2z=0 x+ 3y + 3z = 0
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