The determinant of a matrix is a single number which encodes a lot of information about the matrix. Three simple properties completely describe the determinant. In this lecture we also list seven more properties like det_AB_ = (det_A_)(det_B_) that can be derived from the first three.

These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.

Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776.

Instructor/speaker: Prof. Gilbert Strang