A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22 1. Determine the value of the unknowns using Naïve Gaussian elimination.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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A. Given the set of equations below,
17x+6y+4z+5t=17
8x+22y+2z+4t=20
6x+3y+17z+7t=11
3x+4y+7z+19t=22
1. Determine the value of the unknowns using Naïve Gaussian elimination.
2. Determine the value of the unknowns using Gauss Jordan elimination.
3. Determine the value of the unknowns using LU factorization.
4. Compute the Cholesky factorization for the coefficient matrix [A].
Transcribed Image Text:A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22 1. Determine the value of the unknowns using Naïve Gaussian elimination. 2. Determine the value of the unknowns using Gauss Jordan elimination. 3. Determine the value of the unknowns using LU factorization. 4. Compute the Cholesky factorization for the coefficient matrix [A].
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