The matrix $SO(3)$ is the group of all $3\times 3$ matrices with determinant=+1. I showed that if the trace is equal then they are conjugate but don't know how to show conjugacy implies equivalent trace.
2026-05-05 01:14:45.1777943685
Prove that two matrices in $SO(3)$ are conjugate if and only if they have the same trace
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