Orthogonal Vectors and Subspaces
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Lesson Description:
Orthogonal Vectors and Subspaces -- Lecture 14. Learn what it means for vectors and subspaces (and even bases) to be orthogonal.
Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 22, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Questions answered by this video:
- What are orthogonal vectors?
- What does it mean for vectors and subspaces to be orthogonal?
- How can you tell if two vectors are orthogonal?
- How can you tell if two subspaces are orthogonal?
- Why is the row space orthogonal to the nullspace?
- What are orthogonal complements?
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Staff Review
This video is a very complete and in-depth discussion of orthogonality and what it means for vectors and subspaces to be orthogonal. A very understandable and great explanation of orthogonal spaces.
