Assertion: determinant | /r/HasProperty | multilinear
Facets:
value: in rows
type: LOCATION
value: in columns
type: LOCATION
Source sentences:
text: Determinants are multilinear in rows and columns, since
text: The determinant is in fact a multilinear form: an expression that depends on $n$ vectors, and is linear in each of them taken individually (fixing the other vectors to arbitrary values).
text: Of course, the same argument holds when applied to any other column, hence determinant is multilinear in the columns of the input matrix.