On two questions about quaternion matrices (Q1590647)
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scientific article; zbMATH DE number 1547889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two questions about quaternion matrices |
scientific article; zbMATH DE number 1547889 |
Statements
On two questions about quaternion matrices (English)
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21 December 2000
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The paper answers two questions proposed by \textit{F. Zhang} [ibid. 251, 21-57 (1997; Zbl 0873.15008)], showing that there exists a \(2\times 2\) quaternion matrix with only two non-singular left eigenvalues that is not diagonalizable, and giving some necessary and sufficient conditions for \[ \left|\begin{matrix} A & B\\ -\overline B &\overline A\end{matrix}\right|= 0. \]
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complex representation matrix
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non-diagonalizability
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quaternion matrix
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left eigenvalues
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