Define the exponential of a matrix A to be .
Let A be the following matrix . Show that the eigen values of A are and with associated eigenvectors . Hence or otherwise calculate .
Use previous to solve the system of differential equations (with respect to t)
with the initial conditions , and , by writing the system as
for the matrix A above, and and noting that a solution is
I can do the eigenvalues and eigenvectors part, and can calculate since ,
but I don't get the differential equations part...
Any help would be much appreciated...