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There is a rectangular plate whose edges are maintained at a certain temperature. We are...

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Accounting

There is a rectangular plate whose edges are maintained at a certain temperature.
We are interested in finding the temperature at the interior points. Consider the
following diagram.
Approximations must be found for points T1 to T9; that is, the temperature of the
intermediate points. Suppose that the temperature at an interior point is the
average of the temperatures of the four points surrounding it. With this assumption, establish a system of equations, considering first the point
T1, then the point T2, etc. Rewrite the system so that all variables are on only one side of the equation.
Find the coefficient matrix and the augmented matrix. Observe the shape of the coefficient matrix (diagonal, band, symmetric, etc.).
Solve the system using the Gauss, Jacobi, and Gauss-Seidel methods. Make a table and compare your results.
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