What specific matrix form is used when a matrix cannot be diagonalized, consisting of eigenvalues on the diagonal and ones on the superdiagonal?
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Jordan canonical form
Every square matrix has a Jordan canonical form, which is unique up to the ordering of the Jordan blocks. It is the closest a non-diagonalizable matrix can get to being diagonal.
Also asked as:
- What matrix representation, featuring eigenvalues on the diagonal and ones on the superdiagonal, is used for non-diagonalizable matrices?