Q 3 [Modified from 12.39] (20 points): The steady-state distribution of temperature on a heated plate can be modeled by equation, 0=\frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}} which means that the

temperature at an inner node is equal to the average of its 4 neighbors, forexample200°C T_{11}=\frac{200+T_{12}+T_{21}+75}{4} Use the Gauss-Seidel method to solve for the temperatures at the inner nodes of the figure shown.Use stopping criterion of e, below 1%.