Independence, Basis and Dimension

OCW Scholar

« Previous | Next »

Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang

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.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 3.5 in the 4th edition or Section 3.4 in the 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 »