solve initial value problem for the equation dx/dt = Ax where A =
x(0) = [1, 1]T
x(t) = S*elambda*t*S -1*x(0)
where S is diagonal matrix, lambda is eigenvalue;
The Attempt at a Solution
I tried to diagonalize it, but I get one eigenvalue =1 mult 2 and I don't have enough eigenvectors to get S!
Am I missing something? and how do i solve it?