The question is stated exactly as follows:

"Suppose

has a strictly dominant eigenvalue

. Age class evolution is given by:

. Initial Population is

.

Initially, let

be the linear combination

, of A's linearly independent eigenvectors, with each constant

. Find two expressions for the population distribution

after one generation; one using products involving matrix

, the other in terms of

's eigenvalues."

Now, the question is a little blurry, and so I've come to an answer of which i'm not sure if is correct...

My Answer:

Expression #1 =>

=

Expression #2 =>

=

Please indicate for me if I'm wrong...and if so could you please direct me on how i should go about this question.

Many thanks :)