- #1
physics2000
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Homework Statement
Demonstrate that the columns of a unitary matrix form a set of mutually orthonormal vectors.
Homework Equations
hint - form the vectors [tex]u_i = {U_{ji}}[/tex] and [tex]u_k={U_{jk}}[/tex] from the [tex]i^{th}[/tex] and [tex]j^{th}[/tex] columns of [tex]U[/tex] and make use of the relationship [tex]U^{\dagger}U=I[/tex]
The Attempt at a Solution
I thought my work was following the hint...but not sure...I know I need to end up with an identity matrix from the hint, in which it shows the 3 columns are (1,0,0) , (0,1,0), and (0,0,1), respectively...to show that I have a set of basis vectors in the unitary matrix...
[url=http://postimage.org/][PLAIN]http://s9.postimage.org/sw7ugplvz/photo_3.jpg[/url] upload[/PLAIN]
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