## GR0877 Problem 86

**PROBLEM STATEMENT**: *This problem is still being typed*.

**SOLUTION**: (**B**) The eigenvalues of the matrix are the solutions to the equation , where is identity matrix. Thus, and . From this, one has , .

*Found a typo? Comment!*

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The eigenvalues of a Hermitian matrix are always real, so we can immediately rule out D and E.

The trace of any matrix is invariant, so . This rules out A (and also D and E if you forgot the first property).

is simply the product of the eigenvalues. This leaves us with B

I meant for that to be in LaTex format. Could you please fix this admin!

Done. LaTeX in wordpress http://quasirandomideas.wordpress.com/latex-into-wordpress/