Quote by Filip Larsen
In b) you only need to calculate the population after one year, i.e. with n = 1 calculate x_{1} = A^{1} x_{0} = A x_{0}. No need for eigenvalues yet.
Also, your characteristic equation (before you start using matlab) is not entirely correct.

x
_{1} = A
^{1} x
_{0} = A x
_{0}
So x
_{1}= C
_{1}(0.3765)^1(0.8481; 0.3238) + C
_{2}(0.8765)^1(0.7821;0.6232)
but since lambda 2 is the domain value it will overrun lambda 1 in the long term, therefore the state vector after 1 year will be 0.8765x
_{k}?
or did I think too much, the state vector is simply :
x
_{1}= C
_{1}(0.3765)^1(0.8481; 0.3238) + C
_{2}(0.8765)^1(0.7821;0.6232)