Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) →null-space: add WolframAlpha links |
Cmloegcmluin (talk | contribs) →the other side of duality: add WolframAlpha example |
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\end{array} \right] | \end{array} \right] | ||
</math> | </math> | ||
{| class="wikitable" | |||
|+WolframAlpha code ([https://www.wolframalpha.com/input/?i=basis+of+NullSpace%5B%7B%7B5%2C8%2C12%7D%2C%7B7%2C11%2C16%7D%7D%5D try it]) | |||
!input | |||
!output | |||
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|<code>basis of NullSpace[{{5,8,12},{7,11,16}}]</code> | |||
|{4,-4,1} | |||
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And there’s our {{val|{{monzo|4 -4 1}}}}. Feel free to try reversing the operation by working out the mapping from this if you like. And/or you could try working out that {{val|{{monzo|4 -4 1}}}} is a basis for the null-space of any other combination of ETs we found that could specify meantone, such as 7&12, or 12&19. | And there’s our {{val|{{monzo|4 -4 1}}}}. Feel free to try reversing the operation by working out the mapping from this if you like. And/or you could try working out that {{val|{{monzo|4 -4 1}}}} is a basis for the null-space of any other combination of ETs we found that could specify meantone, such as 7&12, or 12&19. | ||