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Use the Gauss-Seidel method to find approximate solutions to -21 + 10x2 - 2x3 = -30 2x2 + 15r3 = 28 5 -2x2+x3 = 18 with the initial values 1 = 2 , x2 =-2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration.

Use the Gauss-Seidel method to find approximate solutions to -21 + 10x2 - 2x3 = -30 2x2 + 15r3 = 28 5 -2x2+x3 = 18 with the initial values 1 = 2 , x2 =-2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration.

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 -21 + 102 2x3 =-30 2x2 + 15x3 = 28 5x1 2x2 +3 = 18 with the initial values 1 = 2 , x2 = -2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x = 2.4251496 X2 = -2.2335328, X3 = 1.4071857 O none of the choices O x1 = 2.4249254 x2 = -2.2335559, X3 = 1.4071975 O x1 = 2.4251381 x2 = -2.2335329, X3 = 1.4071864 O X1 = 2.4251115 x2 = -2.2335418, x3 = 1.4071870
Transcribed Image Text:Use the Gauss-Seidel method to find approximate solutions to -21 + 102 2x3 =-30 2x2 + 15x3 = 28 5x1 2x2 +3 = 18 with the initial values 1 = 2 , x2 = -2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O x = 2.4251496 X2 = -2.2335328, X3 = 1.4071857 O none of the choices O x1 = 2.4249254 x2 = -2.2335559, X3 = 1.4071975 O x1 = 2.4251381 x2 = -2.2335329, X3 = 1.4071864 O X1 = 2.4251115 x2 = -2.2335418, x3 = 1.4071870
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