本次美国代写是一个Matlab线性方程式相关的Homework

Problem 1.

Consider the following system of linear equations

If a=c=1, b=4, then

(a) Solve the linear system by Gaussian elimination method and Gaussian elimination method with
partial pivoting for n=10, 50 and 250. Which one is beQer and explain the reason?

(b) Solve the linear system by using Jacobi, Gauss-Seidel and SOR methods for n=10, 50 and 250.
Which one is beQer and explain the reason? Find the optimal ω for the SOR method.

If a=c=-1, b=2, then

(a) Solve the linear system by Gaussian elimination method and Gaussian elimination method with
partial pivoting for n=10, 50 and 250. Which one is beQer and explain the reason?

(b) Solve the linear system by using Jacobi, Gauss-Seidel and SOR methods for n=10, 50 and 250.
Which one is beQer and explain the reason? Find the optimal ω for the SOR method.

If a=b=c=1, then

(a) Solve the linear system by Gaussian elimination method and Gaussian elimination method with
partial pivoting for n=10, 50 and 250. Which one is beQer and explain the reason?

(b) Solve the linear system by using Jacobi, Gauss-Seidel and SOR methods for n=10, 50 and 250.
Which one is beQer and explain the reason? Find the optimal ω for the SOR method