I'm supposed to compute the matrix exponential, e^A, for several matrices (for example,A=
I know that when I solve for its eigenvalues i get lambda=0. So then I evaluate the null space of A-Ilambda for lambda=0. Also, my diagonal matrix will be
(0 e^0) which is the identity matrix
Solving for (A-O)x=0
so i get (1,-1)^T twice. So then i should have another matrix X=
( 1 1 )
but X doesn't have an inverse . What did I do wrong?