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Consider the following system of equations 5 -3 4 ³3 4 -2 5 2 -1 -4 -9 0 X₁ = X and the following approximation of the solution of this system: 8.2 -6.0 9.2 || Answer: How much is the relative backward error? Give your answer with two significant figures and use the co-norm.

Consider the following system of equations 5 -3 4 ³3 4 -2 5 2 -1 -4 -9 0 X₁ = X and the following approximation of the solution of this system: 8.2 -6.0 9.2 || Answer: How much is the relative backward error? Give your answer with two significant figures and use the co-norm.

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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Consider the following system of equations 5 -3 2 4 5 4 -1 -2 −4 -9 0 5 X y Z Answer: = and the following approximation of the solution of this system: 8.2 X = -6.0 9.2 How much is the relative backward error? Give your answer with two significant figures and use the co-norm.
Transcribed Image Text:Consider the following system of equations 5 -3 2 4 5 4 -1 -2 −4 -9 0 5 X y Z Answer: = and the following approximation of the solution of this system: 8.2 X = -6.0 9.2 How much is the relative backward error? Give your answer with two significant figures and use the co-norm.
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