Let T ∶ ℝ4 → ℝ4 be a linear transformation with characteristic polynomial (x - 3)4 and minimal polynomial (x - 3)2. Jordan canonical form of T can be
1
\(\left(\begin{matrix} 3&0&0&0\\\ 1&3&0&0\\\ 0&1&3&0\\\ 0&0&0&3 \end{matrix}\right)\)
2
\(\left(\begin{matrix} 3&0&0&0\\\ 1&3&0&0\\\ 0&1&3&0\\\ 0&0&1&3 \end{matrix}\right)\)
3
\(\left(\begin{matrix} 3&0&0&0\\\ 0&3&0&0\\\ 0&1&3&0\\\ 0&0&1&3 \end{matrix}\right)\)
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\(\left(\begin{matrix} 3&0&0&0\\\ 0&3&0&0\\\ 0&0&3&1\\\ 0&0&0&3 \end{matrix}\right)\)
5
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