Are the following matrices symmetric, skew-~ymmetric, or orthogonal? Find their spectrum
Chapter 8, Problem 8.1.66(choose chapter or problem)
Are the following matrices symmetric, skew-symmetric, or orthogonal? Find their spectrum (thereby illustrating Theorems 1 and 5). (Show the details of your work.)
\(\left[\begin{array}{ccc}\cos \theta -\sin \theta 0 \\ \sin \theta \cos \theta 0 \\ 0 0 1\end{array}\right]\)
Text Transcription:
[cos theta - sin theta 0 \\ sin theta cos theta 0 \\ 0 0 1]
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