18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit II: Least Squares, Determinants and Eigenvalues

Properties of Determinants

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang 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.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 5.1 in the 4th or 5th edition.

Problem Solving Video

Check Yourself

Problems and Solutions

Work the problems on your own and check your answers when you’re done.

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Course Info

As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Exams with Solutions
Lecture Notes
Recitation Videos
Problem Sets with Solutions
Course Introduction
Instructor Insights