To provide movies with audio for basic matrix algebra computations that can be
used by instructors as part of a lecture and by students for self-study.
High school or college courses in which basic matrix algebra techniques are
Familiarity with a matrix, its entries, and their row-column addresses is
required. The animation on a the matrix vector product assumes familiarity
with linear combinations. If the animation on the method of elimination is to
be used, then the concepts of coefficient matrix, right side and augmented
matrix will be needed. For the animations based on the MATLAB routine
reduce, familiarity with row operations is required.
No particular software is required, other than the Flash player which is a
free download. Go to
If you have MATLAB, the routine reduce,
described as follows
Perform row reduction on matrix A by
row operations to use. A row operation can be "undone", but
this feature cannot be used in succession. This routine is
for small matrices, real or complex.
can be downloaded by clicking
The matrix algebra computations of Dot Product, Matrix
Addition, Matrix Vector Product, Matrix Multiplication, and the Method of
Elimination are traditionally done with discussion and examples on a chalk
board or white board. Here we present an alternative mode of presentation
utilizing Flash movies with audio that present step-by-step examples of the
operations or procedures. The movie can be stop and reversed to review or
emphasize a point, or to respond to student questions when used in a lecture
format. The audio can be turned off if desired. The movies can be included in
assignments or used for self study.
The examples used in the movies are similar to those
appearing in many texts for matrix algebra or linear algebra. Thus they
involve small matrices with integer entries.
List the movie titles, and data; a link to the movie.
Seperate section for MATLAB reduce