用高斯消元法解线性方程组的matlab程序

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用高斯消元法解线性方程组 的matlab程序

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Here is a detailed explanation of how to use Gaussian elimination method to solve a system of linear equations using a MATLAB program:

1. First, we need to input the augmented matrix in MATLAB.

2. Then, we perform row operations to reduce the matrix to its echelon form.

3. Next, we continue with back-substitution to obtain the values of the variables that satisfy the system of equations.

4. Finally, we output the solutions of the system of linear equations.

Gaussian elimination method is a powerful numerical method for solving systems of linear equations, and it is commonly used in various fields of engineering, physics, and mathematics. By using MATLAB to implement this method, we can effectively and efficiently solve complex systems of linear equations with ease.