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  "body": "\n## Summary\n\nA Boolean matrix, also called a logical matrix or a $(0,1)$-matrix, is a [[matrix|0VD9ZSWWJG]] whose entries are $0$ and $1$, read as false and true.\nIt records a [[binary relation|05AVARPXA2]] between two finite sets.\nWith Boolean arithmetic, the product of two such matrices records the [[composition of the relations|0PYSR20HGF]].\nThe [[adjacency matrix|08B9CX109G]] of a [[directed graph|0KFYGSHHF5]] is the main example.\n\n## Explanations\n\n### L1 human\n\nWrite the elements of one set along the rows and the elements of another set along the columns.\nPut a $1$ in a cell when the row element is related to the column element, and a $0$ otherwise.\nFor the relation \"divides\" on $\\set{1, 2, 3}$, the first row is $1, 1, 1$, because $1$ divides every number.\nThe second row is $0, 1, 0$ and the third row is $0, 0, 1$.\n",
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