Combine sparse matrix multiplication techniques with the power method to find the stationary probability vector for the transition matrix given in Example 4.6. Given F1, F2, F3 and F0 = 0, find the...

Combine sparse matrix multiplication techniques with the power method to find the stationary probability vector for the transition matrix given in Example 4.6.

Given F1, F2, F3 and F0 = 0, find the derivative at the origin of the cubic interpolant of the points (i, Fi) for i = 0,1, 2, 3.