Question: 0 0 2 -1 0 -1 2 -1 0 0 -1 0 0 2 -1 A= Nii: O O... ... O 0 0 0 0

 0 0 2 -1 0 -1 2 -1 0 0 -1

0 0 2 -1 0 -1 2 -1 0 0 -1 0 0 2 -1 A= Nii: O O... ... O 0 0 0 0 2 -1 -1 2 0 i) Find the condition number of the 20x20 Toeplitz matrix A. (by using MATLAB, if possible) ii) Solve the equation system Ax=b, in MATLAB, for the initial guess x(0) = (1 1 1 1] R20 1 and b = [0.1 0.2 ... using Jacobi and Gauss-Seidel method by taking the iteration number 25. 1.9 2.0) R20 by Please write a detailed code. iii) By using the results obtained in ii), draw a two-dimensional error graph in a single drawing specifying the horizontal axis with the iteration number k (for k=5,10,15,20,25) and the vertical axis with the difference between two successive iterations such that ||2(k) x(k-1) ||. Discuss the results

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