Hi
You can write the set of equations as
where
A is diagonalisable into the diagonal matrix through a transition matrix P such that
Let
is transposed into
Since D is diagonal is easily solved.
Then is used to find and
Hi, my friend asked for help with a question and I'm wondering if there's a better method than mine by the question wording.
We have the matrix
and have to find the eigen values and vectors which are
3 with
and
1 with
The next part is to solve the set of equations
using the eigenvalues and eigenvectors.
As this is of the matrix form I solve this by writing characteristic equations with the eigenvalues as the exponentials
and substituting into the above equations to get six equations in A,B,C,D,E and F thus leading to
which is right!
However, I haven't used the eigenvectors only the eigenvalues, is there another (better ? ) method that I should be using?
Thanks!