Develop a 3-by-3 eigen-value problem solver program using Excel that a. takes in the 6 (given) stress components as the input,
b. calculate and output the corresponding 3 principal stresses along with their direction cosine vectors that define their orientations, and
c. calculate and output the corresponding maximum shear stress and the unit normal vector of the plane on which it resides

1kg of water contained in a piston-cylinder assembly undergoes two processes in series from an initial state where the pressure is 3.0 bar and the temperature is 150°c process 1-2: the water is compressed isothermally to a volume of 0.25 m^3 with 120 kj of work being done to the system. process 2-3: the water is heated at constant volume to a final pressure of 10 bar. a. find the change in internal energy for the system. b. calculate the amount of heat transferred, in kj. c. sketch both processes on a t-v diagram. (196.33 kj/kg, 76.33 kj)