Timeline for How many zero-constraints can be added to a subspace-restricted matrix before no solution exists?
Current License: CC BY-SA 3.0
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Apr 12, 2012 at 21:42 | answer | added | Ngoc Mai Tran | timeline score: 1 | |
Mar 10, 2012 at 16:59 | comment | added | Peter | I should add that $V$ is a random subspace whose distribution is uniform over all possible $k$-dimensional subspaces of $\mathbb R^n$, while the zero constraints are independent of $V$. There are pathological choices of $V$ where $q<\frac{k(k+1)}{2}$ is not a necessary condition (e.g, we could have $M_V\subseteq M_X$). However, I think these pathological choices have probability zero. | |
Mar 10, 2012 at 16:38 | history | asked | Peter | CC BY-SA 3.0 |