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1. Given the system of linear equations 0.007r1+61.20x2 +0.093r3 = 61.3 4.180x1 – 5.92x2 + 1.110r3 = 0.00 81.400x1 + 1.12.x2 + 1.180r3 = 83.7 %3D Exact:[r1 = 1, r2 = 1, x3 = 1]. Solve the system rounding to three significant digits after each intermediate calcu- lation i. Gauss elimination without partial pivoting ii. Gauss elimination with partial pivoting iii. Gauss elimination with scaled partial pivoting

1. Given the system of linear equations 0.007r1+61.20x2 +0.093r3 = 61.3 4.180x1 – 5.92x2 + 1.110r3 = 0.00 81.400x1 + 1.12.x2 + 1.180r3 = 83.7 %3D Exact:[r1 = 1, r2 = 1, x3 = 1]. Solve the system rounding to three significant digits after each intermediate calcu- lation i. Gauss elimination without partial pivoting ii. Gauss elimination with partial pivoting iii. Gauss elimination with scaled partial pivoting

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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1. Given the system of linear equations 0.007x1 + 61.20x2 +0.093r3 = 61.3 4.180x1 – 5.92x2 + 1.110r3 = 0.00 81.4001 + 1.12.x2 + 1.180r3 = 83.7 Exact:[r1 = 1, x2 = 1, x3 = 1]. %3D Solve the system rounding to three significant digits after each intermediate calcu- lation i. Gauss elimination without partial pivoting ii. Gauss elimination with partial pivoting iii. Gauss elimination with scaled partial pivoting iv. Compare your results in (i.), (ii.) and (iii.) using || | 16.6.7.6] The following linear systems Ax =b has x as the actual solution and x as an
Transcribed Image Text:1. Given the system of linear equations 0.007x1 + 61.20x2 +0.093r3 = 61.3 4.180x1 – 5.92x2 + 1.110r3 = 0.00 81.4001 + 1.12.x2 + 1.180r3 = 83.7 Exact:[r1 = 1, x2 = 1, x3 = 1]. %3D Solve the system rounding to three significant digits after each intermediate calcu- lation i. Gauss elimination without partial pivoting ii. Gauss elimination with partial pivoting iii. Gauss elimination with scaled partial pivoting iv. Compare your results in (i.), (ii.) and (iii.) using || | 16.6.7.6] The following linear systems Ax =b has x as the actual solution and x as an
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