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Mathematik-Online problems:

Problem 72: "Diagonalization" with an Unitary Matrix

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#./aufgabe72_en.tex#Find unitary matrices $ U$ and $ V$ so that for the matrices

$\displaystyle A_1 = \left(\begin{array}{rc} 1 & {\rm {i}} \\ -{\rm {i}} & 3 ... ... & 13 & -4+3\sqrt{3} \\ -2+6\sqrt{3} & -4-3\sqrt{3} & 13 \end{array}\right) $

the matrices $ D_1=\overline{U}^{\,\rm {t}}\!A_1U$ and $ D_2=\overline{V}^{\,\rm {t}}\!A_2V$ are diagonal. Give $ D_1$ and $ D_2$ explicitly.

(Authors: Höllig/Kimmerle/Höfert)

see also:

[Solutions]
  automatisch erstellt am 18.  1. 2017