1. Find Unitary matrice and Diagonal matrice That
2.Let be a matrice with eigenvalues so that
So I've got no idea how to approach these problems.
Thanks in advance.
The matrix is nornal, that is . This mean that eigenvectors associated to distinct eigenvalues are orthogonal. The eigenvalues of in this case are simple, so find the corresponding eigenvectors and divide between the norm to obtain . Then,
Edited: Sorry I published by mistake twice the same post.