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3x + 7y + 13z = 76 x + 5y +3z = 28 12x + 3y - 5z = 1 2. For the Iterative methods,

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3x + 7y + 13z = 76 x + 5y +3z = 28 12x + 3y - 5z = 1 2. For the Iterative methods, you may use Excel or Matlab a. Solve the system (as is) using Gauss-Seidel with initial solution of (x, y,z) = (1,0,1) Answer. Iteration X Eal % y El % Z 0.5 4.9 3.092 2 0.147 3.715 3.812 3 0.743 3.164 3.971 0.947 3.028 3.997 5 0.992 3.003 4 b. Solve the system (as is) using Gauss-Jacobi with initial solution of (x, y,z) = (1,0,1). Answer Iteration X Eal % y |Ealy % Z 1 0.5 4.8 5.615 10 5.625 2.131 3.146 1.927 2.987 3.865 2.439 2.896 5.793 5 2.388 2.836 3.725

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