(6) (a) Use the software for solving linear systems that was introduced in the recitation to solve the linear system, Ax = b, and estimate the condition number of A, where [0.1 0.2 0.3 A= 0.4 0.5 0.6 b = [0.1] 0.3 ' 0.7 0.8 0.9 0.5 (b) What is the estimate of Cond(A)? Based on the size of the condition number, how would you describe the linear system? (c) How many digits of accuracy do you expect the computed solution to have? Justify your answer. Note that this computation is performed using single precision arithmetic.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter5: Repetition Statements
Section5.7: Do While Loops
Problem 6E: (Numerical analysis) Here’s a challenging problem for those who know a little calculus. The...
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(6) (a) Use the software for solving linear systems that was introduced in the recitation
to solve the linear system, Ax = b, and estimate the condition number of A, where
[0.1 0.2 0.3
A= 0.4 0.5 0.6 b =
[0.1]
0.3
'
0.7 0.8 0.9
0.5
(b) What is the estimate of Cond(A)? Based on the size of the condition number, how
would you describe the linear system?
(c) How many digits of accuracy do you expect the computed solution to have? Justify
your answer. Note that this computation is performed using single precision arithmetic.
Transcribed Image Text:(6) (a) Use the software for solving linear systems that was introduced in the recitation to solve the linear system, Ax = b, and estimate the condition number of A, where [0.1 0.2 0.3 A= 0.4 0.5 0.6 b = [0.1] 0.3 ' 0.7 0.8 0.9 0.5 (b) What is the estimate of Cond(A)? Based on the size of the condition number, how would you describe the linear system? (c) How many digits of accuracy do you expect the computed solution to have? Justify your answer. Note that this computation is performed using single precision arithmetic.
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