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)?

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