Problems Consider the discretized square plate in Figure 1. 15 X X; 5" 35 X3 XA 10" Figure 1 - Discretized Square Plate 1. Write a system of linear equations for this system and clearly identify the matrix A in the matrix equation Ax=b by averaging the values at each node xi, X2, X3, and x4 by taking the (thermal) average of its (four) adjacent nodes (with the given boundary conditions). 2. Compute the inverse of A using an augmented matrix and row operations