The linear system xi + 2X2 - 2X3 = 7, X] + X2+ X3 = 2, 2xi + 2x2 + X3 = 5 has the
Chapter 7, Problem 10(choose chapter or problem)
The linear system xi + 2X2 - 2X3 = 7, X] + X2+ X3 = 2, 2xi + 2x2 + X3 = 5 has the solution (1, 2, 1)'. a. Show that p(Tj) 0. Use the Jacobi method with x <0) = 0 to approximate the solution to the linear system to within ID-5 in the 1^ norm. Show that p(Tg) = 2. Show thatthe Gauss-Seidel method applied as in part (b) fails to give a good approximation in b. c. d. 11. 25 iterations.
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