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SounderBruce (talk | contribs) m Disambiguated: matrix → matrix (mathematics) |
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Lagrange used a different notion of equivalence, in which the second condition is replaced by <math> \alpha \delta - \beta \gamma = \pm 1</math>. Since Gauss it has been recognized that this definition is inferior to that given above. If there is a need to distinguish, sometimes forms are called '''properly equivalent''' using the definition above and '''improperly equivalent''' if they are equivalent in Lagrange's sense.
In [[matrix (mathematics)|matrix]] terminology, which is used occasionally below, when
: <math> \begin{pmatrix} \alpha & \beta \\ \gamma & \delta \end{pmatrix} </math>
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