Unit II: Least Squares, Determinants and Eigenvalues

Cramer's Rule, Inverse Matrix and Volume

« Previous | Next »

Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang Now we start to use the determinant. Understanding the cofactor formula allows us to show that _A_-1 = (1/detA)_C_T, where C is the matrix of cofactors of A. Combining this formula with the equation x = A-1b gives us Cramer’s rule for solving Ax = b. Also, the absolute value of the determinant gives the volume of a box.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 5.3 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.

« Previous | Next »

Course Info

Learning Resource Types

theaters Lecture Videos
grading Exams with Solutions
notes Lecture Notes
theaters Recitation Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations
groups Course Introduction
co_present Instructor Insights