5. A simple model for estimating the temperature distribution on a square plate gives rise to a linear system of equations. To construct the appropriate linear system, we use the following information: The square plate is perfectly insulated on its top and bottom so that the only heat flow is through the plate itself. The four edges are held at various temperatures. To estimate the temperature at an interior point on the plate, we use the rule that it is the average of the temperatures at its four compass-point neighbors, to the north, east, south, and west. Estimate the temperatures T, i = 1,2,3, 4, at the four equispaced interior points on the plate shown below. 100° T₁ T₂ 60° 40° T₁₂ TA 4 0°