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

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The discussion focuses on determining the number of 3x3 non-singular matrices containing four 1s and five 0s. It suggests that the approach involves calculating the total possible matrices and then subtracting the number of singular matrices. The key challenge lies in ensuring that the arrangement of 1s allows for a non-singular configuration. The conversation emphasizes the importance of matrix properties in counting valid configurations. Ultimately, the goal is to find the exact count of these specific non-singular matrices.
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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.
 
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Thread 'How to define a vector field?'

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