HW #2 - that obey the relations (I is the unit matrix) a)...

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Physics 591 - Homework Set # 2 Due: Wednesday, September 8 5 pm 1. Consider the matrix a) Show that it is unitary b) Find its eigenvalues c) Find the corresponding eigenvectors and show that they are orthogonal d) Verify that is a diagonal matrix with U being the matrix of eigenvectors of 2. Consider a set of four Hermitian matrices
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Unformatted text preview: that obey the relations (I is the unit matrix) a) Show that the eigenvalues of these four matrices are 1 and -1 b) Show that the matrices are traceless c) Show that they cannot be odd-dimensional d) Use the cyclic properties of the trace to compute if the dimension is six....
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