A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. The number of basis vectors for a space equals the dimension of that space.
Lecture Video and Summary
- Watch the video lecture Independence, Basis and Dimension
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
- Read Section 3.5 in the 4th edition or Section 3.4 in the 5th edition.
Problem Solving Video
Problems and Solutions
Work the problems on your own and check your answers when you’re done.