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Homework Statement
I attached the problem in a picture so its easier to see.
Homework Equations
The Attempt at a Solution
These are the values i got
[tex]\lambda[/tex]_ 1 = 1
[tex]\lambda[/tex]_ 2 = 1
x_1 = [i; 1] (x_1)^H = [i 1]
x_2 = [ i; 1] (x_2)^H = [i 1]
* where x_1 and x_2 are 2x1 matricies, and their hermitians are 1x2
after each multiplication I got
[tex]\lambda[/tex]_ 1 x_1 (x_1)^H =
[1 i
i 1]
[tex]\lambda[/tex]_ 2 x_2 (x_2)^H =
[1 i
i 1]
When I add these together I get
[0 2i
2i 0]
which is not the original A_5. I can't figure out where I went wrong in this process. If someone could look over it and let me know that would be great. Thank you
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