1.2.8. Week 8 - 10/7ΒΆ
Reading:
- 6.6. LU Decomposition.
- 6.7. Cholesky Decomposition for Positive Definite Systems
- 6.8. (optional) Linear System Applications
- 6.9. Numerical Stability
Video Lectures:
- Section 6.6 - LU Decomposition Update (13:47) Watch this one before the older video on LU decomposition.
- Section 6.6 - LU Decomposition (22:08) Note: LU Decomposition was originally later in this chapter, but was moved forward because it is how MATLAB solves square systems of equations with the left-divide operator. So the section numbers in the video are different from what is currently in the study guide.
- Section 6.7 - Cholesky Decomposition (11:01)
- Optional Section 6.8 - Linear Systems Applications (21:10)
- Section 6.9 - Numerical Stability (25:20)
Annotated notes:
- LU Decomposition -
notes/LU-Decomposition.pdf
- LU Decomposition Update -
notes/LUdecomp.pdf
- Cholesky Decomposition Example -
notes/Cholesky_example.pdf
Assignments:
- Matrix Homework, Hints for Matrix Homework Assignment
- Attendance Quizzes: AQ06_6, AQ06_7, Week 8 Attendance Quiz Hints