3) Given the following moment of inertia matrix. Solve the Eigen problem (by hand) to calculate the principle axis of inertia. 5150 0 1001 J = 0 270 0 1100 0 300) 4) MATLAB - Write a script to calculate the principle axis of inertia from problem 3. Compare your MATLAB results to your hand solutions from problem 3. Are there any differences? If they are, why might they be different, and are both solutions valid? Hint: Use the built in MATLAB function eigo)