The linear system 4. 5. 6. 7. 8. 9. Xi 4- 1 2'2 + 1 3 X3 = 5 6' 1 2 X] 4- 1 3 X2 + 1 4
Chapter 7, Problem 3(choose chapter or problem)
The linear system 4. 5. 6. 7. 8. 9. Xi 4- 1 2'2 + 1 3 X3 = 5 6' 1 2 X] 4- 1 3 X2 + 1 4 X3 = 5 T2' 1 3 X1 4- 1 4 X2 + 1 5 X3 = 17 60' has solution (1,-1,1)'. a. Solve the linear system using Gaussian elimination with three-digit rounding arithmetic. b. Solve the linear system using the conjugate gradient method with three-digit rounding arithmetic. c. Does pivoting improve the answer in (a)? d. Repeat part (b) using C _1 = Z)-1''2 . Does this improve the answer in (b)?
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