Ok, so, given that, , and is a real valued non-singular x matrix, is the diagonal matrix of 's distinct real non-zero eigenvalues, and have as columns a linearly independent set of eigenvectors in the order given by eigenvalues down D's diagonal, how do I find eigenvalues and the corresponding eigenspaces for ?

Is it just the normal method ? (I can't see a result out of this method...)

Your help is much appreciated :)