Talk:Dual list

Null-space?

I'm confused. This article seems to be giving an elaborate alternative to the null-space of a matrix. Am I misunderstanding? What use or additional insight does this method provide beyond taking the null-space? (when going from the comma basis back to the mapping, it's necessary to sandwich the null-space operation with anti-transposes)

The first example seems clearly wrong, because dimensionality is 5 (each map and comma has 5 elements) yet the temperament is rank-3 (there are 3 maps) and has nullity 3 (there are three commas). The rank and nullity must sum to the dimensionality. --Cmloegcmluin (talk) 01:25, 16 June 2021 (UTC)