(0,1)-matrices:
![[0 0; 0 0],[0 0; 0 1],[0 0; 1 0],[0 0; 1 1],[0 1; 0 0]
[0 1; 0 1],[1 0; 0 0],[1 0; 1 0],[1 1; 0 0],[1 1; 1 1].](http://mathworld.wolfram.com/images/equations/SingularMatrix/NumberedEquation1.gif) |
matrices
for certain matrix classes.
| matrix type | Sloane | counts for  , 2, ... |
 -matrices | A057981 | 1, 33, 7875, 15099201, ... |
 -matrices | A057982 | 0, 8, 320, 43264, ... |
 -matrices | A046747 | 1, 10, 338, 42976, ... |
Friday, May 11, 2012
Singular Matrix
A square matrix that does not have a matrix inverse. A matrix is singular iff its determinant
is 0. For example, there are 10 singular (0,1)-matrices:
The following table gives the numbers of singular matrices
for certain matrix classes.
(0,1)-matrices:
matrices
for certain matrix classes.
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