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
Multiplication and Inverse Matrices
Multiplication and Inverse Matrices
3492 views, 2 ratings  00:49:31
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 17, 2008). License: Creative Commons BYNCSA. More info at: http://ocw.mit.edu/terms
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Multiplication and Inverse Matrices  Lecture #3. How to multiply matrices and find and use inverse matrices to solve systems of linear equations.
 How do you multiply matrices?
 What is an inverse matrix?
 How do you find an inverse matrix?
 What is a nonsingular matrix?
 What is a singular matrix?
This video explains very well (though at times it can be difficult to follow) how to use inverse matrices to solve systems of equations, and why this works. Also, multiplying matrices is explained.