A. Solve the given systems of equation by Gaussian Elimination Method 3x + 4y – z = -6 -2y + 10z = -8 %3D 4y – 2z = -2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
icon
Related questions
Question
Q.5
A. Solve the given systems of equation by Gaussian Elimination Method
3x + 4y – z = -6
-2y + 10z = -8
4y – 2z = -2
Step 1: Gaussian Elimination
3
4 -1
-6
3
4
-1
-6
3 4
-1
-6
mR3+R,
nR3+R3+R3
-2
10
-8
1
0 1
a23 a24
0 0 a33 a34
*
4
-2
-2
-2
-2
m =
n =
a23 =
a24 =
a33 =
a34 =
Transcribed Image Text:Q.5 A. Solve the given systems of equation by Gaussian Elimination Method 3x + 4y – z = -6 -2y + 10z = -8 4y – 2z = -2 Step 1: Gaussian Elimination 3 4 -1 -6 3 4 -1 -6 3 4 -1 -6 mR3+R, nR3+R3+R3 -2 10 -8 1 0 1 a23 a24 0 0 a33 a34 * 4 -2 -2 -2 -2 m = n = a23 = a24 = a33 = a34 =
Step 2: Back Substitution
Therefore, the solution is (x, y, z) =
B. For what value of a does the system have no solution?
x +y+z = 6
x + 2y + 3z = 10
x + 2y + az = 0
a =
Transcribed Image Text:Step 2: Back Substitution Therefore, the solution is (x, y, z) = B. For what value of a does the system have no solution? x +y+z = 6 x + 2y + 3z = 10 x + 2y + az = 0 a =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage