Talk:Linear relation
Linear vs Affine: new section
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-- [[User:Greg at Higher Math Help|Greg at Higher Math Help]] ([[User talk:Greg at Higher Math Help|talk]]) 16:20, 11 February 2023 (UTC) |
-- [[User:Greg at Higher Math Help|Greg at Higher Math Help]] ([[User talk:Greg at Higher Math Help|talk]]) 16:20, 11 February 2023 (UTC) |
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== Linear vs Affine == |
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Let's say '''y''' = '''M x''' + '''c''' . Do we still call this transformation ''linear'' if '''c''' ≠ 0 ? Does it matter whether we're dealing with scalars, or a (linear algebra) matrix equation of vectors? |
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It seems that in some usage contexts, affine transformations in general are deemed not strictly linear. But they do generate straight lines. It might be useful to clarify this. |
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(Similar question is whether "''directly proportional''" is the same as "''linear''", or whether the former implies that the constant of proportionality is positive.) |
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[[User:Cesiumfrog|Cesiumfrog]] ([[User talk:Cesiumfrog|talk]]) 12:01, 26 April 2026 (UTC) |
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