Do you know a simple proof of the fact the maximum dimension of a subspace of $M_n(\mathbb C)$ containing no invertible matrix is $n(n-1)$?
One can see it at least $n(n-1)$ by considering the subspace of all matrix having a zero first row.
2026-03-26 11:02:16.1774522936
Maximum dimension of a subspace of $M_n(\mathbb C)$ containing no invertible matrix
102 Views Asked by user371663 https://math.techqa.club/user/user371663/detail AtRelated Questions in LINEAR-ALGEBRA
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