TITLE: Does this matrix have a name? (Maybe in combinatorics?)
QUESTION [1 upvotes]: Or rather, is there a name for the class of matrices that resemble this one:
\begin{bmatrix}
  1 & 1 & 1 \\
  1 & 1 & 0 \\
  1 & 0 & 1\\
  1 & 0 & 0\\
  0 & 1 & 1\\
  0 & 1 & 0\\
  0 & 0 & 1\\
  0 & 0 & 0 
\end{bmatrix}
I made the matrix because I wanted to be able to think of each column as representing a thing that could be either chosen or set aside (like in combinatorics?), and each row as representing one way of choosing/not choosing from among the three things.

REPLY [1 votes]: If the last row (the all zeros row) is removed, then the matrix you get is the transpose of the parity check matrix of the binary Hamming code.
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