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Question 4 (5 points) Consider the square plste show-n in Figure 2 which shows that the temperatures along the edge; a: = 0,2: = 4.5,y = 0 and y = 4.5 are kept at 75, 50,0 and 100 degree Celsius (C), respectively. The temperature distribution in this plate follows a. Inplaoe equation 3% a=_ @+@o (:3) After dividing the plate into a grid of equal size, the numerical approximation of the Laplace equation can he written as 41M \"Hi1,1 ":41; 1lei1 "is\" = D (4) Consider the square plate in the gure below in which the temperature is at equilibrium. (3) Write six equations by applying the Lsplsce equation to each grid points (1)) Write those six equations inmatrix format Ax = b whale x = [uu,u:1,u12,mg,u13,m3]T (c) Compute the temperatures at 1511,1431, \"12:15:25 1113 and 1123 (round your answers to full integers)