5. Do this problem by hand. Assume x(0) = [0 0 0]. Consider the following linear...

 

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5. Do this problem by hand. Assume x(0) = [0 0 0]. Consider the following linear system: 3 24 -10 0 5 -4 2 7 21 X2 13 - -53 ||xG) -x-1¹) || ||x6||a 27 (a) Perform 3 iterations of the Jacobi method. At each step, j, be sure to compute and show the approximate convergence errors defined as, for a = 1, 2, ∞o. Note that ||- || stands for norm of a vector. Hint: instead of checking the convergence error e for solutions x1, x2 and 23, separately, here we only check for the norm of the vector x = [1 2 3] at every iteration. T (b) Perform 3 iterations of the Gauss-Seidel method. At each step, j, be sure to show the approximate convergence errors in the same norms as above. 5. Do this problem by hand. Assume x(0) = [0 0 0]. Consider the following linear system: 3 24 -10 0 5 -4 2 7 21 X2 13 - -53 ||xG) -x-1¹) || ||x6||a 27 (a) Perform 3 iterations of the Jacobi method. At each step, j, be sure to compute and show the approximate convergence errors defined as, for a = 1, 2, ∞o. Note that ||- || stands for norm of a vector. Hint: instead of checking the convergence error e for solutions x1, x2 and 23, separately, here we only check for the norm of the vector x = [1 2 3] at every iteration. T (b) Perform 3 iterations of the Gauss-Seidel method. At each step, j, be sure to show the approximate convergence errors in the same norms as above.

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S 4 1 Jauki Method Given 5x1 32 24 5 1 2 3 10 O X0 1 24 S 53 ... View the full answer