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Philip Wong
#6
Apr24-10, 06:37 PM
P: 95
Quote Quote by Filip Larsen View Post
In b) you only need to calculate the population after one year, i.e. with n = 1 calculate x1 = A1 x0 = A x0. No need for eigenvalues yet.

Also, your characteristic equation (before you start using matlab) is not entirely correct.
x1 = A1 x0 = A x0
So x1= C1(-0.3765)^1(-0.8481; 0.3238) + C2(0.8765)^1(-0.7821;-0.6232)

but since lambda 2 is the domain value it will over-run lambda 1 in the long term, therefore the state vector after 1 year will be 0.8765xk?

or did I think too much, the state vector is simply :
x1= C1(-0.3765)^1(-0.8481; 0.3238) + C2(0.8765)^1(-0.7821;-0.6232)