**This course begins Summer 2021.**

How else should a teacher’s effectiveness be judged other than helpfulness? Helpful in teaching students how to ask great questions, teach them how to experiment, plan, be interesting, be concise, and share their curiosity. Introducing Dave’s online math course: Linear Systems and Matrices. In this course, Dave is your biggest cheerleader.

## Who This Course is For

- Students in college who want to learn more mathematics.
- Anyone interested in linear systems and matrices.
- Students who are enrolled in precalculus and want to improve their grade.
- Anyone interested in getting prepared for calculus 1.
- Anyone wanting to learn about solving linear systems of equations, matrices, operations with matrices, and the inverse of a matrix.

## Requirements

There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.

## What You’ll Learn in Linear Systems and Matrices

- Substitution Method
- Graphing Method
- Points of Intersection
- The Method of Elimination
- Applications
- Interpretation of 2-Variable Systems
- Row-Echelon Form
- Back-Substitution
- Gaussian Elimination
- Nonsquare Systems
- Matrices
- Elementary Row Operations
- Equality of Matrices
- Matrix Multiplication
- Interpretation of 3-Variable Systems
- Back-Substitution
- Matrix Addition
- Scalar Multiplication
- The Inverse of a Matrix
- Finding Inverse Matrices
- The Inverse of a 2 by 2 Matrix
- Systems of Linear Equations
- The Determinant of a 2 by 2 Matrix
- Minors and Cofactors
- The Determinant of a Square Matrix
- Triangular Matrices
- Area of a Triangle
- Collinear Points
- Cramerâ€™s Rule
- Cryptography

## Course Description

## Recommended Prerequisites for Linear Systems and Matrices

I recommend the prerequisite course Linear Systems and Matrices. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.

## Course Content

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