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Channel: Is this matrix diagonalizable and does it have multiple eigenspaces? - Mathematics Stack Exchange
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Answer by José Carlos Santos for Is this matrix diagonalizable and does it...

There are several issues with your question.Your first sentence mentions “the basis for the eigenspace”, but each eigenspace has infinitely many bases.Then you talk about “the eigenvector of said...

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Is this matrix diagonalizable and does it have multiple eigenspaces?

So we want to find the basis for the eigenspace of each eigenvalue λ for some matrix A.Through making this question, I have noticed that the basis for the eigenspace of a certain eigenvalue has some...

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