Physics Help Forum Orthonormal eigenvectors

 General Physics General Physics Help Forum

 May 2nd 2008, 05:23 PM #1 Junior Member   Join Date: May 2008 Posts: 6 Orthonormal eigenvectors .............. Last edited by nairbdm; May 8th 2008 at 02:09 PM.
May 3rd 2008, 02:30 AM   #2
Member

Join Date: Apr 2008
Location: Zeitgeist
Posts: 69
 Originally Posted by nairbdm I have a 3X3 matrix M: {1,-i(2^(1/2)),0} {i(2^(1/2)),0,0} {0,0,2} And I am trying to find a set of orthonormal eigenvectors for M. If anyone can help, I would greatly appreciate it. Thanks, Brian
Eigen values: Solve $\displaystyle \det(M - \lambda I) = 0$.
Expand along the bottom row to get the determinant.
Then $\displaystyle \lambda = -1, 2, 2$.

Does that get you started?

 Thread Tools Display Modes Linear Mode