Remarque relative aux transformations linéaires orthogonales. (Q1461348)
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scientific article; zbMATH DE number 2600596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarque relative aux transformations linéaires orthogonales. |
scientific article; zbMATH DE number 2600596 |
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Remarque relative aux transformations linéaires orthogonales. (English)
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1922
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Beweis des elementaren Satzes (vgl. Niewenglowski, Géométrie analytique 3, Kap. 1): Aus \[ \sum_{k=1}^3a_{i,k}^2=1\quad \text{für}\quad i=1,2,3\quad \text{und}\quad D^2=1, \] wo \(D\) die Determinante der 9 reellen Größen \(a_{ik}\) ist, folgt \(\sum\limits_{i\neq j}a_{ik}a_{jk} = 0\).
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