How to VISUALIZE the DETERMINANT // Lecture // Linear Algebra

We explore how to think about the determinant as a volume. We assume you already know what the determinant is.

0:00 Area of a parallelogram as a cross product and determinant
3:26 3-dimensions, parallelepipeds, cubes, determinants as volume
10:50 geometry of determinant of matrix with linearly dependent sides
15:04 geometry of determinant of a matrix with row or column of zeroes
17:03 geometry of determinant of a matrix after switching rows or columns
19:40 geometry of determinant of a matrix after scaling a row
21:17 geometry of determinant of a matrix after adding a multiple of one row to another row
24: 16 lingering questions