Consider the following system of equations 5 4 9 30-0 -2 5 and the following approximation of the solution of this system: -2.1 -3.0 -3.4 How much is the relative backward error? Give your answer with two significant figures and use the ∞o-norm. -4 x₁ = -3 4 3 2

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 3BEXP
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Consider the following system of equations
4
30-0
-1
5
9
4
5
and the following approximation of the solution of this system:
-2.1
-3.0
-3.4
How much is the relative backward error?
Give your answer with two significant figures and use the ∞o-norm.
Xr =
-3
4
3
Answer:
2
Transcribed Image Text:Consider the following system of equations 4 30-0 -1 5 9 4 5 and the following approximation of the solution of this system: -2.1 -3.0 -3.4 How much is the relative backward error? Give your answer with two significant figures and use the ∞o-norm. Xr = -3 4 3 Answer: 2
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