Linear algebra formalism: Difference between revisions
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{{Wikipedia|Linear algebra}} | |||
Aspects of tuning theory are often described in the language of '''linear algebra.''' This is because the space of [[just intonation|just intervals]] (and as it turns out, the space of [[radical interval]]s) constitutes a vector space. This can be determined by checking that intervals follow the axioms of linear algebra: | Aspects of tuning theory are often described in the language of '''linear algebra.''' This is because the space of [[just intonation|just intervals]] (and as it turns out, the space of [[radical interval]]s) constitutes a vector space. This can be determined by checking that intervals follow the axioms of linear algebra: | ||
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== Mappings and matrices == | == Mappings and matrices == | ||
{{Todo|complete section|inline=1}}A temperament mapping, in linear algebra, is represented by a matrix. A matrix is a grid of numbers, written like so: | {{Todo|complete section|inline=1}} | ||
A temperament mapping, in linear algebra, is represented by a matrix. A matrix is a grid of numbers, written like so: | |||
<math> | <math> | ||
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{{Todo|complete section|inline=1}} | {{Todo|complete section|inline=1}} | ||
* | == See also == | ||
* [[Matrix echelon forms]] | |||
[[Category:Math]] | |||