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Use the Gauss-Seidel method to find approximate solutions to -1 +3x2 +x3 = 5 2x1 + 2x2 +5x3 1 4x1 + x2 - x3 = 5 starting with 1 as initial values of x and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 6 decimal places. Reminder: Arange the system to be Diagonally Dominant before iteration. O x1 = 0.507468, x2 2.119388, x3 = -0.850741 O X1 = 0.507464, x2 2.119388, x3 = -0.850741 O X1 = 0.508390, x2 = 2.119417, x3 = -0.851123 %3D %3D O X1 = 0.507440, x2 = 2.119395, x3 = -0.850734 %3D none of the choices OX1 = 0.507365, x2=2.119496, X3 = -0.850744

Use the Gauss-Seidel method to find approximate solutions to -1 +3x2 +x3 = 5 2x1 + 2x2 +5x3 1 4x1 + x2 - x3 = 5 starting with 1 as initial values of x and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 6 decimal places. Reminder: Arange the system to be Diagonally Dominant before iteration. O x1 = 0.507468, x2 2.119388, x3 = -0.850741 O X1 = 0.507464, x2 2.119388, x3 = -0.850741 O X1 = 0.508390, x2 = 2.119417, x3 = -0.851123 %3D %3D O X1 = 0.507440, x2 = 2.119395, x3 = -0.850734 %3D none of the choices OX1 = 0.507365, x2=2.119496, X3 = -0.850744

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+3x2 + x3 = 5 2x1 + 2x2 +5x3 1 4x1 +x2 - x3 = 5 starting with 1 as initial values of x and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 6 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O X1 = 0.507468, x2 = 2.119388, x3 = -0.850741 O x1 = 0.507464, x2 = 2.119388, X3 = -0.850741 O X1 = 0.508390, x2 = 2.119417, x3 = -0.851123 OX1 = 0.507440, x2 = 2.119395, x3 = -0.850734 none of the choices X1= 0.507365, x2 2.119496, x3 = -0.850744
Transcribed Image Text:Use the Gauss-Seidel method to find approximate solutions to -21+3x2 + x3 = 5 2x1 + 2x2 +5x3 1 4x1 +x2 - x3 = 5 starting with 1 as initial values of x and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 6 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. O X1 = 0.507468, x2 = 2.119388, x3 = -0.850741 O x1 = 0.507464, x2 = 2.119388, X3 = -0.850741 O X1 = 0.508390, x2 = 2.119417, x3 = -0.851123 OX1 = 0.507440, x2 = 2.119395, x3 = -0.850734 none of the choices X1= 0.507365, x2 2.119496, x3 = -0.850744
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