![](/files/happy5.png)
permanent
The permanent conjecture ★★
Author(s): Kahn
Conjecture If
is an invertible
matrix, then there is an
submatrix
of
so that
is nonzero.
![$ A $](/files/tex/7a8d9782350e8eb5a84c149576d83160492cbdd3.png)
![$ n \times n $](/files/tex/fd981d449b91b1f4889d87406e6aa7d8acfb5d68.png)
![$ n \times n $](/files/tex/fd981d449b91b1f4889d87406e6aa7d8acfb5d68.png)
![$ B $](/files/tex/4369e4eb2b0938fb27436a8c4f4a062f83d4d49e.png)
![$ [A A] $](/files/tex/d1e9d82c656535b507686183e640178057fae455.png)
![$ perm(B) $](/files/tex/611c52c475fe4a5ad9a2c30107f439f4ff88506f.png)
Keywords: invertible; matrix; permanent
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Author(s): Kahn
Keywords: invertible; matrix; permanent