So I've been trying to calculate Jordan basis for this matrix \begin{pmatrix} 1 & -1 & 3 & 1 & 5 \\\ 0 & 1 & 8 & 1 & 3 \\\ 0 & 0 & 1 & 3 & -3 \\\ 0 & 0 & 0 & -5 & 6 \\\ 0 & 0 & 0 & -6 & 7\end{pmatrix} and i found out eigenvectors \begin{pmatrix} 0 & 9 & -1 & 2 & 2\end{pmatrix} and \begin{pmatrix} 1 & 0 & 0 & 0 & 0\end{pmatrix} and attached ones being \begin{pmatrix} 0 & 9/16 & 7/6 & -1/3 & 0\end{pmatrix} \begin{pmatrix} 0 & -1 & 0 & 0 & 0\end{pmatrix}\begin{pmatrix} 0 & -3/8 & -1/8 & 0 & 0\end{pmatrix} But im being told that the last one is being ambiguously defined. How could this be?
2026-03-25 09:22:53.1774430573
When and why attached vector is ambiguously defined?
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