Calculate the 4 digit rounding relative error in the above arithmetic operation for x 0.1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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X1 - 4x2 + 2x3 = -1
-2x1 + x2 + 5x3 = 1
031750 3x1 - x2 + x3 = 2
0317500
1750017 03175001 031750017 031750017 031750017 031750017
1760017 051760017.031750017 031750017 0S170017 031750017
Solve the above linear equation system by
e) Relaxation (s=1.2) method after pivoting 0017 017500
n Find the 2-digit round-off error in one equation o07 03100
1750017 03150017 031750017
00175007 031750017 05750017
Vx +4 -2
Calculate the 4 digit rounding relative error in the above arithmetic operation for x 0.1
Transcribed Image Text:X1 - 4x2 + 2x3 = -1 -2x1 + x2 + 5x3 = 1 031750 3x1 - x2 + x3 = 2 0317500 1750017 03175001 031750017 031750017 031750017 031750017 1760017 051760017.031750017 031750017 0S170017 031750017 Solve the above linear equation system by e) Relaxation (s=1.2) method after pivoting 0017 017500 n Find the 2-digit round-off error in one equation o07 03100 1750017 03150017 031750017 00175007 031750017 05750017 Vx +4 -2 Calculate the 4 digit rounding relative error in the above arithmetic operation for x 0.1
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