“Matrix Algebra Tutor: Inconsistent & Dependent Systems”

Matrix Algebra can be difficult for students to understand because although it has applications in algebra, it looks completely different than previous algebra lessons learned. The material in this progra is covered in most advanced high school algebra classes and in university linear algebra courses. This program teaches matrix algebra just as if students had a personal tutor. Every matrix algebra lesson is taught by fully worked example problems that help students not only do well in class, but truly understand the concepts taught. If students need assistance to improve their grades in linear algebra, the Matrix Algebra Tutor will provide the tools they need to succeed. What sets this program apart from other teaching tools is that the concepts are taught entirely through step-by-step example problems of increasing difficulty. It works by introducing each new concept in an easy to understand way and using example problems that are worked out step-by-step and line-by-line to completion. This program covers the very important topic of inconsistent and dependent systems in matrix math. Sometimes, a system of equations does not have a well-defined solution. For example, if we have two equations that represent two lines and these lines are exactly parallel and never intersect, then these equations do not have a solution. In this program we explore these ideas and demonstrate the difference between inconsistent and dependent systems of equations in the context of matrix math.