The linear system 1 X

Chapter 7, Problem 1

(choose chapter or problem)

The linear system 1 X| + -X2 1 1 A* + 3 12 has solution (xj, xa)' = (1/6, 1/7)'. a. Solve the linear system using Gaussian elimination with two-digit rounding arithmetic. b. Solve the linear system using the conjugate gradient method (C = C - ' = /) with two-digit rounding arithmetic. c. Which method gives the better answer? d. Choose C -1 = T)_,/2 . Does this choice improve the conjugate gradient method?

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