Session Overview
 | We apply the method of elimination to all matrices, invertible or not. Counting the pivots gives us the rank of the matrix. Further simplifying the matrix puts it in reduced row echelon form R and improves our description of the null space. |
Session Activities
Lecture Video and Summary
- Watch the video lecture
Solving Ax = 0: Pivot Variables, Special Solutions (00:43:20)
Solving Ax = 0: Pivot Variables, Special Solutions
> Download from iTunes U (MP4 - 93MB)
> Download from Internet Archive (MP4 - 93MB)
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 3.2 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on Solving Ax=0 (00:10:03)
- Recitation video transcript (PDF)
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you're done.