Home › MCQs › CSS Applied Mathematics › Question #4163
Back to Questions
CSS Applied Mathematics QUESTION #4163
Question 1
For the system $3x_1 + 4x_2 - x_3 = 8$, $5x_1 + 3x_2 + 2x_3 = 17$, $-x_1 + x_2 - 3x_3 = -8$, what is the first iteration value of $x_1$ in Gauss-Seidel method starting with $(0,0,0)$?
  • $\frac{8}{3}$✔️
  • $\frac{17}{5}$
  • $\frac{8}{5}$
  • $8$
Correct Answer Explanation
From first equation: $x_1 = \frac{8 - 4x_2 + x_3}{3}$. With $x_2 = x_3 = 0$: $x_1 = \frac{8}{3} \approx 2.667$.