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And what if a matrix is not diagonalizable at all? Are there still ways to find its exponential matrix?

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- Thread starter AdrianZ
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- #1

- 319

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And what if a matrix is not diagonalizable at all? Are there still ways to find its exponential matrix?

- #2

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However, you can 'almost' diagonalize any matrix you want. One way to do this is to use something called Jordan normal forms (http://en.wikipedia.org/wiki/Jordan_normal_form).

Since you are asking about exponential matrices, you might be interested in the Jordan–Chevalley decomposition which allows you to compute the exponential of a matrix by writing it as the sum of a diagonalizable matrix and nilpotent matrix.

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