Course website: https://www.adampanagos.org/ala-applied-linear-algebra

We use determinants to compute the area of a parallelogram in this example video. We also verify that the determinant approach to computing area yield the same answer obtained using “conventional” area computations.

While this particular example is for a 2-D parallelogram, the same concept applies to larger dimensions (e.g. 3-D parallelpipeds, etc.).

If you enjoyed my videos please “Like”, “Subscribe”, and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!