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
Matrix Spaces, Rank 1 matrices, and Small World Graphs
Matrix Spaces, Rank 1 matrices, and Small World Graphs
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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 22, 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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Matrix Spaces, Rank 1 matrices, and Small World Graphs  Lecture 11. Some more discussion of matrices, bases, dimensions, and vector spaces. Rank of matrices (and rank 1 matrices) are also discussed.
 What are matrix spaces?
 What is a rank 1 matrix?
 What is the solution space?
 What is a small world graph with nodes and edges?
This lesson explains very much more the topics from lecture 10. Much is clarified in this lesson, and topics such as dimenion, rank, basis, and vector (or matrix) spaces are discussed in depth. Small world graphs with nodes and edges are also introduced.