Can a Matrix Have Multiple Eigenbases?

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Thread starter Niles
Start date Feb 21, 2010
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Niles

Thread starter
Feb 21, 2010

Hi guys

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

Niles.

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MathematicalPhysicist

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Feb 21, 2010

The eigenbasis isn't unique.

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

wofsy

Feb 21, 2010

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.

Can a Matrix Have Multiple Eigenbases?

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Can a Matrix Have Multiple Eigenbases?

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