7 videos in "Matrices and Matrix Operations"
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Elimination with Matrices
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Multiplication and Inverse Matrices
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Matrix Spaces, Rank 1 matrices, and Small World Graphs
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Graphs, Networks, and Incidence Matrices
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Symmetric matrices and Positive Definite matrices
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Positive definite matrices (tests), Tests for minimum, and Ellipsoids in R^n
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Similar Matrices and Jordan Form
Positive definite matrices (tests), Tests for minimum, and Ellipsoids in R^n
Positive definite matrices (tests), Tests for minimum, and Ellipsoids in R^n
1635 views - 00:50:40
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 23, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
Positive definite matrices (tests), Tests for minimum, and Ellipsoids in R^n -- Lecture 27. Learn how to determine if a matrix is positive definite and how to test a matrix for a minimum.
- Positive Definite Mini-Lecture - This is a mini-lecture demo lesson on Positive Definite matrices.
- How do you test to see if a matrix is positive definite?
- How do you test a matrix for minimum?
- What are ellipsoids in R^n?
This video incorporates a lot of Calculus 2 and 3 to test for minimum points and discusses how this relates to positive definite matrices. A good geometrical explanation and view of matrices and Linear Algebra. Ellipsoids in R^n are also discussed.
