Hi,
I am not sure if this is what you want to achieve. But one thing could be that you take the matrix
mata = {{6/10, a}, {2/3, 0}}
and calculate its eigenvalues
eigenvals = Eigenvalues[mata]
you want the dominant eigenvalue to be equal to 1, I think. So what you can do is
Solve[eigenvals[[2]] == 1, a]
which gives
{{a -> 3/5}}
If you try the other eigenvalue
Solve[eigenvals[[1]] == 1, a]
it gives
{{}}
If you take the value 3/5 for a and substitute back into the Eigenvalue equations
Eigenvalues[mata] /. {{a -> 3/5}}
you get
{{-(2/5), 1}}
Not sure whether this helps.
Cheers,
Marco
