Non-Trivial Jordan Matrix is not Diagonalizable
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Theorem
Let $\mathbf J$ be a Jordan matrix of order $n$, where $n > 1$.
Then $\mathbf J$ is not diagonalizable.
Proof
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Jordan matrix
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Jordan matrix