Matrix: Forskelle mellem versioner
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MGA73bot (diskussion | bidrag) m Retter tankestreger – burde ignorere [[ ]], {{ }} og <math> samt <gallery> |
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Følgende regneregler kan vises for matrixmultiplikation:
* ''r''(''AB'') = ''A''(''rB'') for alle ''r'' ∈ ''R'', ''A'' ∈ Mat<sub>''m'',''n''</sub>(''R'') og ''B'' ∈ Mat<sub>''n'',''l''</sub>(''R'').
* (''AB'')''C'' = ''A''(''BC'') for alle ''A'' ∈ Mat<sub>''k'',''l''</sub>(''R''), ''B'' ∈ Mat<sub>''l'',''m''</sub>(''R'') og ''C'' ∈ Mat<sub>''m'',''n''</sub>(''R'') ([[associativitet]]).
* ''A''(''B'' + ''C'') = ''AB'' + ''AC'' for alle ''A'' ∈ Mat<sub>''m'',''n''</sub>(''R'') og ''B'', ''C'' ∈ Mat<sub>''n'',''l''</sub>(''R'').
* (''A'' + ''B'')''C'' = ''AC'' + ''BC'' for alle ''A'', ''B'' ∈ Mat<sub>''m'',''n''</sub>(''R'') og ''C'' ∈ Mat<sub>''n'',''l''</sub>(''R'').
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