Physics 410 Midterm Practice Exam Fall 2007, Frey Closed book ...
Physics 410 Midterm Practice Exam Fall 2007, Frey Closed book ...
Physics 410 Midterm Practice Exam Fall 2007, Frey Closed book ...
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2. (25 points)<br />
Consider the eigenvalue equation A |v〉 = λ |v〉 , where A =<br />
(a) Find the eigenvalues.<br />
⎛<br />
⎜<br />
⎝<br />
1 0 i<br />
0 1 0<br />
−i 0 1<br />
⎞<br />
⎟<br />
⎠<br />
(b) Find the (normalized) eigenvectors.<br />
(c) Let A ′ = SAS −1 be the diagonalized matrix. Write down S.
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