MHB How Many 3x3 Non-Singular Matrices Exist with Four 1s and Five 0s?

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The no. of $3 \times 3$ non - singular matrices matrices, with four entries as $1$ and all other entries as $0$
 
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jacks said:
The no. of $3 \times 3$ non - singular matrices matrices, with four entries as $1$ and all other entries as $0$
I assume the question is "Find the number of ...", in which case I suggest you count the number of ways you can make a singular matrix and then subtract this from the total number of all possible matrices.
 
The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...

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