# Thread: in determinant as a multilinear map

1. ## in determinant as a multilinear map

In determinant as a multilinear map,
given the fact that a multilinear map on (m+n)-tuples of vectors and covectors is a tensor,
What is the "rank" of determinantal multilinear map?

2. ## Re: in determinant as a multilinear map

Hey ineedsomemathhelp.

The rank is equivalent to the minimum number of pieces of information needed to represent something in the space.

A determinant is something that has a number of properties and you apply those properties to find the determinant function.

I'm not sure what you mean by the rank of a determinant multi-linear map though.