This is the first of a two-volume set on Linear Algebra that Jason has put out (in addition to his Matrix Algebra tutor, which contains the introduction to Matrix algebra that students generally get in a college algebra course). In this set, Jason does a quick review of the introductory material and then gets into the content that you will get at the beginning of an introduction to linear algebra course (sometimes called elementary linear algebra or something like that). After going through the "basics" such as n-tuples, matrix arithmetic and multiplication, the dot product, and how vectors and matrices are related, he has several sections on solving systems of equations using both row-reduction methods and using inverse matrices. The second method will be used a lot in engineering courses as multiple classes (like Statics, Dynamics, Circuits, etc.) all require solving systems of equations, which is much easier when using inverse matrices.
To be clear, this set (and even combined with volume 2) does not cover 100% of what you will see in class. They do cover the big topics, but they are meant to be a study aid, not a replacement for going to class. This is best for people who are visual learners who learn best by watching examples. Obviously, you cannot interact via DVD, just rewatch and hope the concepts sink in. But, it is much less expensive than using a live tutor. So, there is a bit of a tradeoff. If used correctly, these will absolutely help you learn the material, and if you are taking a class, will help you boost your grade.
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