Lecture 9: Independence, basis, and dimension

About this lecture

What does it mean for vectors to be independent? How does the idea of independence help us describe subspaces like the nullspace? 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.

These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.