There is an $m\times n$ matrix of ones and zeros where the dot product of any two different columns is one and any row have at least two ones in it.
My question is: Is this a popular matrix? Does it have a name?
2025-01-13 02:14:00.1736734440
The class of $0-1$ matrices with row sums at least $2$, where distinct columns have dot product $1$
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This is an incidence matrix. An incidence matrix is a matrix of ones and zeros in it, usually representing a relation of some sort.
However, stating that it is just an incidence matrix would neglect the properties that the dot product of any two different columns is 1 and that every row has at least 2 ones in it, hence these conditions should be explicitly stated.