The matrix [A] has a norm of ||A||=3.2 x 10° and the norm of the inverse of that matrix is ||A^1||=2.5 x 1012 If a solution is obtained for a system of equations [A]{x}={b} using this same matrix [A] and double precision computations, then O the solution is very sensitive to input error O the solution is insensitive to input error O small residuals indicate accurate answers O small residuals do not indicate accurate answers O the system is ill-conditioned

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.5: Steady-state Probabilities And Mean First Passage Times
Problem 5P
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The matrix [A] has a norm of ||A||=3.2 x 10° and the norm of the inverse of that matrix is ||A-4||=2.5 x 1012 If a solution is obtained for a
system of equations [A]{x}={b} using this same matrix [A] and double precision computations, then
O the solution is very sensitive to input error
O the solution is insensitive to input error
O small residuals indicate accurate answers
O small residuals do not indicate accurate answers
O the system is ill-conditioned
Transcribed Image Text:The matrix [A] has a norm of ||A||=3.2 x 10° and the norm of the inverse of that matrix is ||A-4||=2.5 x 1012 If a solution is obtained for a system of equations [A]{x}={b} using this same matrix [A] and double precision computations, then O the solution is very sensitive to input error O the solution is insensitive to input error O small residuals indicate accurate answers O small residuals do not indicate accurate answers O the system is ill-conditioned
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