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i would like to ask if a matrix that is diagonalizable then that means that i hasn't Jordan normal form .

if that's not the case then please tell me some ways to check if a matrix has jordan normal form or not.

George 0X
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  • The matrix is a Jordan normal form of itself, right? – Ehsan M. Kermani May 09 '13 at 14:46
  • Do you want to check if a particular matrix is in jordan normal form, or whether at can be brought into jordan normal form by a suitable coordinate system (i.e., a suitable basis)? – fgp May 09 '13 at 15:06

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If you're working over the complex numbers, every matrix has a Jordan normal form. If a matrix is diagonalizable, then the diagonal matrix appearing in its diagonalization is its Jordan normal form.

Alistair Savage
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