Orthogonal Vectors and Subspaces

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Taught by OCW
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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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.