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Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.6 - Problem 3
Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.6 - Problem 3

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# 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 ISBN: 9781305253667 457

## Solution for problem 3 Chapter 7.6

Numerical Analysis | 10th Edition

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Problem 3

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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Larissa Shen MAT 106 Trigonometry Week 1 Notes Angles, Degrees and Triangles  Angles are formed when a ray is rotated around its endpoint  The initial side is on the x axis  The terminal side is y axis  Counterclockwise makes a positive angle  Clockwise makes a negative angle   From: http://etc.usf.edu/clipart/43200/43215/unit-circle7_43215_lg.gif  One complete rotation is counterclockwise 360 degrees  A right angle is 90 degrees or a ¼ rotation  A straight angle is 180 degrees or a ½ rotation  An acute angle is less than 90 degrees  An obtuse angle is larger than 90 but less than 180 degrees  Together, complimentary angles add up to 90 degrees  Ex. To find the comp

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##### ISBN: 9781305253667

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