Question: Let be a normal operator on a finite-dimensional complex inner product space . Consider spectral decomposition and prove that is invertible if and only if for .
Any pointers would be helpful - I am unable to begin currently.
Question: Let be a normal operator on a finite-dimensional complex inner product space . Consider spectral decomposition and prove that is invertible if and only if for .
Any pointers would be helpful - I am unable to begin currently.