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Use the Gauss-Seidel method to find approximate solutions to -2x1 + 10x2 - 2x3 = -30 T1- 2x2 + 15x3 = 18 5x1 - 2x2 + x3 = 28 with the initial values 1 = 2 , x2 = -2 and x3 1 and iterating until the error is less than 0.1%. %3D %3D Round-off all computed values to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x1 = 4.7032989, x2 = -1.9336684, x3 0.6286243 O x1 = 4.7006084, x2 = -1.9341321, x3 0.6287418 OX1 = 4.7008078, x2 = -1.9341136, x3 = 0.6287310 %3D O X1 = 4.7005988, x2 -1.9341319 , x3 = 0.6287425

Use the Gauss-Seidel method to find approximate solutions to -2x1 + 10x2 - 2x3 = -30 T1- 2x2 + 15x3 = 18 5x1 - 2x2 + x3 = 28 with the initial values 1 = 2 , x2 = -2 and x3 1 and iterating until the error is less than 0.1%. %3D %3D Round-off all computed values to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x1 = 4.7032989, x2 = -1.9336684, x3 0.6286243 O x1 = 4.7006084, x2 = -1.9341321, x3 0.6287418 OX1 = 4.7008078, x2 = -1.9341136, x3 = 0.6287310 %3D O X1 = 4.7005988, x2 -1.9341319 , x3 = 0.6287425

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Gauss-Seidel method to find approximate solutions to - 2x3 = -30 -2x1+10x2 I1-2x2 + 15x3 18 5x1 - 2x2 + x3 = 28 with the initial values 1 = 2, x2 =-2 and x3 =1 and iterating until the error is less than 0.1%. Round-off all computed values to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x1 = 4.7032989, x2 = -1.9336684, X3 = 0.6286243 O x1 = 4.7006084, x2 = -1.9341321 , x3 = 0.6287418 %3D O x1 = 4.7008078, x2 = -1.9341136 , x3 = 0.6287310 O x1 = 4.7005988, x2 = -1.9341319 , x3 = 0.6287425 %3D
Transcribed Image Text:Use the Gauss-Seidel method to find approximate solutions to - 2x3 = -30 -2x1+10x2 I1-2x2 + 15x3 18 5x1 - 2x2 + x3 = 28 with the initial values 1 = 2, x2 =-2 and x3 =1 and iterating until the error is less than 0.1%. Round-off all computed values to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x1 = 4.7032989, x2 = -1.9336684, X3 = 0.6286243 O x1 = 4.7006084, x2 = -1.9341321 , x3 = 0.6287418 %3D O x1 = 4.7008078, x2 = -1.9341136 , x3 = 0.6287310 O x1 = 4.7005988, x2 = -1.9341319 , x3 = 0.6287425 %3D
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