Is $\left( \begin{array}{cc} a&b \\ c&-a\\ \end{array} \right)$ similar to $\left( \begin{array}{cc} 0&-1 \\ 1&0\\ \end{array}\right)$ if $a^2+bc=-1$?

score 78 · Answer 12 · 2017-05-08 16:50:44

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matrix changing basis

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score 50 · Answer 13 · 2017-05-13 21:17:49

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Trying to prove that the Eigenvalues here are positive

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score 12k · Answer 14 · 2017-05-16 03:30:24

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score 577 · Answer 15 · 2017-05-16 19:32:58

577

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Hoffman and Kunze, Linear algebra Sec 2.4 Theorem 8

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