2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x + 3y + 4z = 4 %3D 5x + y – 2z = 5 x +3y + z = 6 -2x – y – z = 7 3x – y + 4z = 8 using Gaussian elimination and LU decomposition.
2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x + 3y + 4z = 4 %3D 5x + y – 2z = 5 x +3y + z = 6 -2x – y – z = 7 3x – y + 4z = 8 using Gaussian elimination and LU decomposition.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![2. Solve the following system of linear equation
2.x +y – 2z = 1
3x + 2y – 6z = 2
x + 5y + 5z = 3
6x + 3y + 4z = 4
5x + y – 2z = 5
x + 3y + z = 6
-2.x – y – z = 7
3x – y + 4z = 8
using Gaussian elimination and LU decomposition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36ad4555-2a00-4480-b21b-ecc79636db86%2F0881fb83-5f43-4ea7-82d3-896a90fb6ed4%2Fy614u39_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Solve the following system of linear equation
2.x +y – 2z = 1
3x + 2y – 6z = 2
x + 5y + 5z = 3
6x + 3y + 4z = 4
5x + y – 2z = 5
x + 3y + z = 6
-2.x – y – z = 7
3x – y + 4z = 8
using Gaussian elimination and LU decomposition.
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