Approximate solutions to the following linear systems Ax = b to within I0-5 in the norm. (i) 4, a, , = 1, when 0, when j i and i 1,2,... ,16, + 1 and / = 1,2,3,5,6,7,9, 10, 11, 13, 14, 15, - 1 and / =2,3,4,6,7,8, 10, 11, 12, 14, 15, 16, + 4and/ = 1,2,... , 12, 4 and / = 5, 6,... ,16, J = J = j = j = otherwise and a. c. d. b = (1.902207, 1.051143, 1.175689,3.480083,0.819600. -0.264419, -0.412789, 1.175689,0.913337,-0.150209,-0.264419, 1.051143, 1.966694, 0.913337, 0.819600, 1.902207)' (ii) 'i.J < 1, when J - i 1 and i j i \ and i and (iii) 4, when j i and i 1,2,... , 25, 1,2,3,4, 6,7.8,9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 2,3,4,5,7,8,9, 10, 12, 13, 14, 15, 17, 18, 19, 20. 22, 23,24, 25, j = i + 5 and i = 1,2,... , 20. j i 5 and / = 6, 7,... . 25, 0, otherwise b = (1,0,-1,0,2, 1.0. -1.0,2, 1,0, -1,0,2, 1,0, -1,0,2, 1,0, -1,0,2)' 2i, when j = i and / = 1, 2,... , 40, /./ = / +I andi = 1,2,... ,39, 1, when < ^ y = / I and i =2,3,... , 40, 0, otherwise CliJ = and hi 1.5/ - 6, for each i 1.2,... ,40 Use the Jacobi method. b. Use the Gauss-Seidel method. Use the SOR method with co 1.3 in (i), co 1.2 in (ii), and co 1.1 in (iii). Use the conjugate gradient method and preconditioning with

MECH 1321 Spring, 2016 MECH 1321: STATICS Class Reference Number: 13749 Textbook: Engineering Mechanics: Statics 14 Edition by R.C. Hibbeler Required Material: Mastering Engineering Access Code Class/Lab Meeting: MW, 3:00 pm to 4:20 pm Class Room: College of Business Administration Room 312 Prerequisite: MATH 1411 Calculus Recommended Pre Course: PHYS 2420 Physics I Instructor: Dr. Barry A. Benedict, babenedict@utep.edu Phone : 9157475604 Office Hours: TB