7 videos in "Matrices and Matrix Operations"

Elimination with Matrices

Multiplication and Inverse Matrices

Matrix Spaces, Rank 1 matrices, and Small World Graphs

Graphs, Networks, and Incidence Matrices

Symmetric matrices and Positive Definite matrices

Positive definite matrices (tests), Tests for minimum, and Ellipsoids in R^n

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
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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 BYNCSA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
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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 MiniLecture  This is a minilecture 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.