Answer:
hence the long-term prediction for each major ; [ 1 , 1 ]
Step-by-step explanation:
Probability of A humanities major changes to Science = 0.9
P( science major changes to humanities ) = 0.2
Determine the long term predictions for each Major
The Transition matrix can be written as
[tex]\left[\begin{array}{ccc}0.1&0.9&\\0.8&0.2&\\\end{array}\right][/tex]
Find the equilibrium matrix p' of the Transition matrix above by finding the values of p, p^2 , p^3 ......... until any row of the resultant matrix
The eigen ( equilibrium ) vectors of the matrix
[tex]\left[\begin{array}{ccc}1&-1.125&\\1&1&\\\end{array}\right][/tex]
hence the long-term prediction for each major ; [ 1 , 1 ]
