Eigenvectors Definition and 452 Threads

Hi, I encountered the following HW problem which really confuses me. Could anyone please explain it to me? Thank you so much! The result of applying a Hermitian operator B to a normalized vector |1> is generally of the form: B|1> = b|1> + c|2> where b and c are numerical...

What's the utility of the eigenvectors of a matrix? I know that is something about quantum mechanics