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Find the solution to the given linear systems by Jacobi and Gauss Seidel iteration methods.          ...

  1. Find the solution to the given linear systems by Jacobi and Gauss Seidel iteration methods.

          2x + 5y = 16                      20x + y – 2z = 17            5x – y +2z = 12

          3x + y = 11                        3x +20y – z = -18           3x +8y -2z = -25

                                                      2x – 3y +20z = 25            x + y +4z = 6

2. Solve the equation Ax = b by using the LU decomposition method given the following linear systems of equations:

a. 3x – 7y -2z = -7

-3x +5y + z = 5

6x – 4y      = 2

b. 2x – y +2z = 1

-6x     -2z = 0

8x – y+5z = 4

  

Solutions

Expert Solution


Colby Messinger answered 1 year ago
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