This list of videos roughly follows the progress we are making through the class.
BASIC OPERTATIONS
Matrices, Scalar Multiplication and Addition: this video is from a finite mathematics class at North Carolina State University. It includes an introduction to the n-by-m zero matrix.
Matrix multiplication Part 1 and Part 2: These are Kahn Academy videos which cover several examples of matrix multiplication.
The identity matrix: This short video covers the definition and the properties of the identity matrix. It is made by mathispower4u.
Transpose of a matrix: another Kahn Academy video on the transpose of a matrix with plenty of examples and the fact that (AT)T=A.
MORE PROPERTIES OF OPERATIONS
Distributive Property of Matrix Products: the Kahn Academy illustrates the distributive property of matrix multiplication.
Transpose of a product of matrices: this Kahn Academy video illustrates the fact that (AB)T=BTAT.
ROW ECHELON FORM AND ROW OPERTATIONS
Augmented matrices and row operations: this is a video from a linear algbera course at the University of Buffalo. It introduces the augmented matrix of a system of linear equations and elementary row operations.
Properties of elementary row operations: this video from the University of Buffalo discusses some properties of elementary row operations and their use in solving systems of linear equations.
Reduced row echelon form part 1: this video from the University of Buffalo introduces reduced row echelon form motivating it with solving systems of linear equations. It does not cover row echelon form. I will try to replace it if I can.
PIVOT POSITIONS
Pivot positions and pivot columns: this is a video from the University of Buffalo. It introduces pivot positions and their interpretation in an augmented matrix.
