Answer by Ben Grossmann for Conditions on the characteristic polynomial of a...
We'll say that $A$ is block diagonal with $k$ blocks of size $2 \times 2$ with each $2 \times 2$ block in the sine/cosine form you present, and $A$ has finite order.The problem of counting the possible...
View ArticleConditions on the characteristic polynomial of a matrix with sines and...
Let $A\in \mathsf{GL}(4,\mathbb{R})$ be the following matrix:$$A=\begin{pmatrix}\cos a&-\sin a&0&0\\ \sin a&\cos a&0&0\\0&0&\cos b&-\sin b\\0&0&\sin...
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