# Matrices

 Purchase Options Download Version Matrices \$14.95   Includes Solution Manual, Student Exams & Exam Solutions

Matrices are usually taught in algebra 2 at the end of the year. For the most part, there doesn't seem to be any particular reason why it is taught. Few if any applications or matrices are ever shown. And while its primary use, solving simultaneous equations is useful, it is perhaps more trouble than it's worth for 2 by 2 equations and 3 by 3 or greater equations rarely occur in meaningful applications at the high school level.

So the goal of my matrix unit is to set the table for some applications that students can understand.  Matrix addition and subtraction are shown and multiplication, scalar and matrix are examined. The technique to find an inverse matrix is taught. Calculators methods are shown although teachers have a choice whether to use them for simple matrices. Solving equations with matrices are taught and reduced row methods as well as Gaussian elimination techniques are stressed.

All of this is a prelude to solving simultaneous equations and methods using matrices and not are examined. Interesting and lesser known applications to matrices are shown including ones involving geometry and computer graphics, cryptology, Markov chains, and economics.

This Matrix manual is in the same format as our popular Calculus and Precalculus courses. There are classwork problems that are meant to be solved as part of a classroom setting and then homework problems that students are expected to solve on their own. As usual, the student version is FREE.

Below are the FREE LINKS to the student versions.

 LINK TO FILE DESCRIPTION Matrix Manual Cover (0.2 mb) Table of Contents Intro Letter Matrix Chapters 1-2 (1.4 mb) 1. Matrices and Notations 2. Matrix Multiplication Matrix Chapters 3-6 (1.2 mb) 3. Row Reduction 4. Matrix Applications 5. Systems of Equations Apps 6. Using the Calculator

Teachers  purchasing solutions get 2 exams and solutions (one not allowing calculators). These are not given as part of our free version so that students do not have access to them.

 Purchase Options Download Version Matrices \$14.95   Includes Solution Manual, Student Exams & Exam Solutions

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