Which of the following is true?

1
It is possible for a generalized eigenvector of a linear operator T to correspond to a scalar that is not an eigenvalue of T.
2
Any linear operator on a finite- dimensional vector space has a Jordan canonical form.
3
A cycle of generalized eigenvectors is linearly dependent.
4
There is exactly one cycle of generalized eigenvectors corresponding to each eigenvalue of a linear operator on a finite- dimensional vector space.
5
Question Not Attempted

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