Session Overview
| |
Vectors are easier to understand when they’re described in terms of orthogonal bases. In addition, the Four Fundamental Subspaces are orthogonal to each other in pairs.
If A is a rectangular matrix, _A_x = b is often unsolvable. The matrix ATA will help us find a vector x̂ that comes as close as possible to solving _A_x = b.
Session Activities
Lecture Video and Summary
- Watch the video lecture
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 4.1 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on
- Recitation video transcript (PDF)
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you’re done.