https://file.aiquickdraw.com/mathbot/file/1725953008403dhgnjpxr.jpg

The problem in the image involves solving a system of linear equations using the **Seidel iteration method** (also known as **Gauss-Seidel**), iterating for 4 steps, and evaluating the error after the 4th step. 

The system of equations given is:

\[
\begin{aligned}
1.\quad & 10x_1 - 2x_2 - 3x_3 = 20 \\
2.\quad & -2x_1 + 20x_2 - 5x_3 = 40 \\
3.\quad & x_1 - 3x_2 + 10x_3 = 8 \\
\end{aligned}
\]

### Steps to Solve:
1. **Rearrange the equations** to express \( x_1 \), \( x_2 \), and \( x_3 \) in terms of each other:
   \[
   x_1 = \frac{1}{10}(20 + 2x_2 + 3x_3)
   \]
   \[
   x_2 = \frac{1}{20}(40 + 2x_1 + 5x_3)
   \]
  

Giải hệ bằng phương pháp lặp Seidel với 4 bước lặp và đánh giá sai số ở bước 4.

Solve a system of linear equations using the Gauss-Seidel method with 4 iterations. Learn the step-by-step process for calculating x1, x2, and x3, including error estimation at the fourth iteration. Ideal for students studying numerical methods or linear algebra.

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