We want to explore the accuracy of MATLAB’s solution to the following set of equations

for values of ϵ from 10−1 to 10−15. For this problem, you are allowed to use the slash command to solve the system of equations and the cond function to compute the condition number.

Write a MATLAB function that computes the condition number and the relative error in the value of x₃ as a function of ϵ. The error in x₃ should be computed by the formula

where x₃^compute is the value obtained in MATLAB and x₃^exact is the exact solution for x₃ that you obtained by solving this system by hand using Gauss elimination. Your program should make (i) a log–log plot of the condition number versus epsilon and (ii) a log–log plot of the relative error versus the condition number.

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