Question

Solve the following system of equations by using the Gauss-Seidel method: 10x1 + 2x2 ? x3 = 27 ? 3x1 ? 6x2 + 2x3 = ?61.5 x1 + x2 + 5x3 = ?21.5 Use $\begin{Bmatrix} x_1\\x_2\\x_3 \end{Bmatrix} = \begin{Bmatrix} 0\\0\\0 \end{Bmatrix}$ as initial guess and perform three iterations. Also calculate the approximate relative errors. Please show all steps of your hand calculation. Use the script M-file that we developed to verify your calculation. Modify the script M-file so that it will keep running until the approximate relative errors for all unknowns are less than 0.05 (i.e. 5%). Save your script M-file. Hint: you can use max(ea) to find the maximum approximate relative error.

          Solve the following system of equations by using the Gauss-Seidel method:
10x1 + 2x2 ? x3 = 27
? 3x1 ? 6x2 + 2x3 = ?61.5
x1 + x2 + 5x3 = ?21.5
Use $\begin{Bmatrix} x_1\\x_2\\x_3 \end{Bmatrix} = \begin{Bmatrix} 0\\0\\0 \end{Bmatrix}$ as initial guess and perform three iterations. Also calculate the approximate
relative errors. Please show all steps of your hand calculation.
Use the script M-file that we developed to verify your calculation.
Modify the script M-file so that it will keep running until the approximate relative errors
for all unknowns are less than 0.05 (i.e. 5%). Save your script M-file.
Hint: you can use max(ea) to find the maximum approximate relative error.

Solve the following system of equations by using the Gauss-Seidel method:
10x1 + 2x2 ? x3 = 27
? 3x1 ? 6x2 + 2x3 = ?61.5
x1 + x2 + 5x3 = ?21.5
Use x1
x2
x3 = 0
0
0 as initial guess and perform three iterations. Also calculate the approximate
relative errors. Please show all steps of your hand calculation.
Use the script M-file that we developed to verify your calculation.
Modify the script M-file so that it will keep running until the approximate relative errors
for all unknowns are less than 0.05 (i.e. 5%). Save your script M-file.
Hint: you can use max(ea) to find the maximum approximate relative error.

Added by Brenda L.

Question

Please give Ace some feedback