I wrote an answer to this question based on determinants, but subsequently deleted it because the OP is interested in non-square matrices, which effectively blocks the use of determinants and thereby

Determinant-like expression for non-square matrices Ask Question Asked 11 years, 4 months ago Modified 6 years, 8 months ago

Aug 17, 2016 · Determinant of non-square matrices. Ask Question Asked 9 years, 4 months ago Modified 9 years, 4 months ago

May 13, 2020 · 11 I'm reading a book that claims that determinants and traces are only defined for square matrices, but doesn’t really explain why. From a calculation standpoint, this seems correct …

And when I tested it for a parametrization $ {\bf R}^2\rightarrow {\bf R}^3$ it was equivalent to taking the 2-norm of the vector containing the three square sub-determinants of its associated $3\times 2$ …

Determinant of a block matrix including non-square matrices Ask Question Asked 9 years, 10 months ago Modified 9 years, 4 months ago

Feb 19, 2012 · Determinant of non square matrix ahmednet24 Feb 19, 2012 Determinant Matrix Square

Apr 17, 2010 · "Determinant" of a non-square matrix? Hi, is there any numerical invariant that would characterize the rank of a non-square matrix, similar to the determinant for square matrices? I.e. …

Mar 13, 2018 · Closed 7 years ago. I have to find the determinant of a non-square matrix. But because we can have the determinant of square matrices only. Then, how can I transform a $2 \times 3 $ …

Feb 8, 2009 · I'm sure you could define a 'determinant like' thing for non-square matrices. Just define it however you need it and make it match intuition. You would want to make sure that it had useful …