Q # 1: To study the changes in boundary temperatures on a steel plate, lets assume that T1, T2, Ts, T4 be temperatures at four interior points 1, 2, 3, 4. In each case, each T* where k = 1, 2, 3, 4....

Linear Algebra

Extracted text: Q # 1: To study the changes in boundary temperatures on a steel plate, lets assume that T1, T2, Ts, T4 be temperatures at four interior points 1, 2, 3, 4. In each case, each T* where k = 1, 2, 3, 4. is approximated by the average of the temperatures at the four closest points 20° 20° 0° 40° 4 3 0° 40° Plate A 20° 20° a. Set up a system of linear equations involving 12. 13, 14 and write it matrix form? T1, T2, T3, T. ? b. Using echlon or reduced echlon form to find four temperatures