Question: please use Python 2.10. Consider the linear system [111+1][x1x2]=[1+(1+)1] where is a small parameter to be specified. The exact solution is obviously x=[1] for any
please use Python
![please use Python 2.10. Consider the linear system [111+1][x1x2]=[1+(1+)1] where is a](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66f4518b93b57_69166f4518b124aa.jpg)
2.10. Consider the linear system [111+1][x1x2]=[1+(1+)1] where is a small parameter to be specified. The exact solution is obviously x=[1] for any value of . Use a library routine based on Gaussian elimination to solve this system. Experiment with various values for , especially values near mach for your computer. For each value of you try, compute an estimate of the condition number of the matrix and the relative error in each component of the solution. How accurately is each component determined? How does the accuracy attained for each component compare with expectations based on the condition number of the matrix and the error bounds given in Section 2.3.4? What conclusions can you draw from this experiment
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
