Write Matlab script for Gaussian Elimination using partial pivoting

Assignment 5 

1. Solve the following linear system of equations using 

3 1 2 6 2 9 

‹ 5 3 2x x x ‹= 

3170 ‹ 

a. Naïve Gaussian Elimination and b. Gaussian Elimination with partial pivoting 2. LU decomposition and matrix inverse 

A = [ 6 2 6 ; 4 2 1 ; -2 -2 6 ]; 

6 2 6 4 2 1 

‹ −2 −2 63. Given initial values for x = −1, x = 1, x = 0.3. Solve the following linear system 

of equations using 

1 5 3 3 1 1 

‹ 6 7 15x x x ‹= 

16‹ 10a. Naïve Gauss Seidel b. Gauss Seidel with diagonal dominancy ensured 

4. Write Matlab script for Gaussian Elimination using partial pivoting 5. Write Matlab script for computing inverse of a matrix using LU 

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