Can a Matrix Have Multiple Eigenbases?

[Niles]

Hi guys

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


Niles.

 

[MathematicalPhysicist]

The eigenbasis isn't unique.

I would say the eigenbasis is unique up to orthonormalization in inner product spaces.

 

[wofsy]

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.