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Results tagged with linear-algebra
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user 94865
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
4
votes
Partitioning an orthogonal matrix into full rank square submatrices
Thanks so much, Federico. That was very helpful. In case others are interested, this problem was also studied in the more general context of matroid theory in
C. Greene, "A multiple exchange propert …
- 81
4
votes
2
answers
877
views
Partitioning an orthogonal matrix into full rank square submatrices
Let $U$ be an $n \times n$ orthogonal matrix. Given an arbitrary partition ${\mathcal P}_c=\{y_1,y_2,\ldots,y_k\}$ of the columns of
$U$, does there always exist a corresponding partition ${\mathcal …
- 81