Vector Independence, Span, Basis, and Dimension
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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?
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Staff Review
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.
