Exercises 1.4. (a) Show that for any matrix A, Tr(A" A) = E=1 £;=1|aij[². We will write this more concisely as Ej=1l9ijP. %3D Li=1 rij=1 Lemma 1.5. If A, B are unitarily equivalent then j=1|4i,j? = E"j=1lbijl². %3D

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