### 2 videos in "Orthogonality"

## Orthogonal Matrices and Gram-Schmidt

Orthogonal Matrices and Gram-Schmidt

3757 views, 2 ratings - 00:49:25

Part of video series Linear Algebra Course acquired through MIT OpenCourseWare

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.

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Orthogonal Matrices and bases, and Gram-Schmidt -- Lecture 17. Learn what an orthonormal vector and basis looks like and why it is convenient.

- Gram-Schmidt Java Applet - Java applet to play around to investigate Gram-Schmidt and Orthogonal matrix operations.

- What is an orthogonal basis?
- What is an orthogonal matrix?
- What is Gram-Schmidt?
- What are orthonormal vectors?
- What is an orthonormal basis?

The final lecture on orthogonality. This video is a great explanation of orthogonal matrices, orthogonal bases, and Gram-Schmidt. A must see if you want a sort of wrap-up of orthogonal vectors, bases, matrices, projections, and other orthogonal topics.