Please solve question 9. Question 6 is only provided for reference.

6. Let n = 5, so the rod is broken up into 5 segments of length 0.2 units and y0 = y5 = 0. Hence, using equation (5) for i = 1, 2, 3, 4, determine the four equations for the deflections y1, y2, y3 and y4, respectively.

9.On comparing (6) with the eigenvalue equation Ay = y, show that the eigenvalues of A are related to the critical load limits by = 25. Thus, use the smallest eigenvalue to determine an approximation to the lowest critical load (i.e., the smallest non-zero value of ).