Topic summary
Multilinear function
Extracted from the Wikipedia article Multilinear map.
Multilinear functions on n×n matrices
One can consider multilinear functions, on an n×n matrix over a commutative ringK with identity, as a function of the rows (or equivalently the columns) of the matrix. Let A be such a matrix and ai, 1 ≤ i ≤ n, be the rows of A. Then the multilinear function D can be written as