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
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Properties of Determinants (00:49:12)
Lecture 18: Properties of Determinants
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- Lecture video transcript (PDF)
- Read Section 5.1 in the 4th or 5th edition.
Problem Solving Video
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Properties of Determinants (00:09:55)
Problem Solving: Properties of Determinants
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Problems and Solutions
Work the problems on your own and check your answers when you're done.