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Prove or disprove: If a real 5x5 matrix has a non-real eigenvalue, then it has 5...

Prove or disprove: If a real 5x5 matrix has a non-real eigenvalue, then it has 5 distinct eigenvalues.

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Answer #1

The statement is wrong,,

There are matrices, having non real eigenvalue , can have non-distinct Eigenvalues...

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