Vector Independence, Span, Basis, and Dimension

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by OCW
  • Currently 4.0/5 Stars.
12331 views | 2 ratings
Lesson Description:

Vector Independence, Span, Basis, and Dimension -- Lecture 9. Learn when vectors are independent or dependent, what a vector span is, what a basis is, and how to find the dimension.

Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 19, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Questions answered by this video:
  • What does it mean for vectors to be independent?
  • When are vectors dependent?
  • What does it mean for vectors to span a space?
  • What is a basis for a space?
  • How do you find the dimension in linear algebra?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video is a great video for learning about vector independence and dependence, and how to know whether vectors are independent or dependent. It also discusses what a vector span is, a basis, and how to find their dimension. A very diversified and full lesson. There is a small error in this video that is corrected in lecture 10.