A faculty has three kinds of students;

- mathematics students = S1

- physicists = S2

- and those who do not study anything at all = S3

We call the number of students in each group S1, S2 and S3.

Every year 10% of the mathematicians and 20% of the physicists takes a break and stop studying (but remains on the faculty).

20% moves from "those who do not study" to mathematicians and 40 % from "those who do not study" to physicists.

Additionally, some physicists finds out that mathematics is very important, so 20% of the physicists is moves to the mathematics.

We can describe this using a transition matrix, A.

a)Determine A

This is what i have done so far;

I think they want the eigenvectors of a 3x3 matrix...

What should i do next?