Can a Matrix Have Multiple Eigenbases?

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Niles
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Hi guys

Is it possible for a matrix to have more than one eigenbasis?


Niles.
 
The eigenbasis isn't unique.

I would say the eigenbasis is unique up to orthonormalization in inner product spaces.
 
Niles said:
Hi guys

Is it possible for a matrix to have more than one eigenbasis?


Niles.

For the identity matrix and its scalar multiples every basis is an eigen basis.
 

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