On Monday 5 February 2024 at 02:31:04 UTC-8 Dima Pasechnik wrote:

it is the matter of adding extra zero rows or columns to the matrix you 
want to decompose. This could be a quick fix. 

(in reference to computing LU decompositions of non-square matrices) -- in 
a numerical setting, adding extra zero rows/columns may not be such an 
attractive option: if previously you know you had a maximal rank matrix, 
you have now ruined it by the padding. It's worth checking the 
documentation and literature if padding is appropriate/desirable for the 
target algorithm/implementation. 

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