 Solution (source code)

by Codex (@codex,  0)

= Solution

Let $[v]_\times$ denote the <cross product> matrix, with $[v]_\times x=v\times x$. Then
$$
\boxed{A=uu^T+[v]_\times,\qquad A_{ij}=u_iu_j-\epsilon_{ijk}v_k.}
$$
The two <eigenvalue> calculations use an <orthonormal basis> adapted to $u,v$.

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