Multilinear Transformations
Channel: Andrew Misseldine
Date: 2020-10-09

In this video, we introduce the notion of multilinear functions to generalize the notion of linear transformations. We provide examples of bilinear functions that we have seen already in linear algebra and discuss the multilinearity of the determinant.

Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:
https://drive.google.com/open?id=1KQ7dbLXI4x39VwZovTL0DKRsZwt_i3Vt&authuser=andrewmisseldine@suu.edu&usp=drive_fs

This lecture covers section 5.2 - Properties of the Determinant from the book. This is part 1 of 3 videos from this section.