Question 11731. (Q1482828)
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scientific article; zbMATH DE number 2628805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Question 11731. |
scientific article; zbMATH DE number 2628805 |
Statements
Question 11731. (English)
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1911
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Die Gleichung \[ \begin{vmatrix} \l\quad &\l &\l\\ a_{11}-x &a_{12} &\dots a_{1n}\\ a_{21} &a_{22}-x &\dots a_{2n}\\ \hdotsfor3\\ a_{n1} &a_{n2} &\dots a_{nn}-x \end{vmatrix}=0 \] besitzt keine von \(\pm1\) verschiedenen Wurzeln, wenn zwischen den \(a\) die Bedingungen einer orthogonalen Substitution bestehen. Beweise von \textit{Th. Muir, E. J. Nanson, T. W. Chaundy}.
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