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 detAB = (detA)(detB) that can be derived from the first three.
Lecture Video and Summary
- Watch the video lecture Properties of Determinants (00:49:12)
Lecture 18: Properties of Determinants
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
- Read Section 5.1 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on Properties of Determinants (00:09:55)
Problem Solving: Properties of Determinants
- Recitation video transcript (PDF)
Problems and Solutions
Work the problems on your own and check your answers when you're done.