# Ch 26: Vectors, Matrices & Determinants: Lesson Plans

The Vectors, Matrices and Determinants chapter of this course is designed to help you plan and teach the students in your classroom how to take a determinant of a matrix, solve linear systems, use Cramer's rule and more. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

## Weekly Syllabus

Below is a sample breakdown of the Vectors, Matrices and Determinants chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday The Dot Product of Vectors: Definition and Application;
What is a Matrix?;
How to Write an Augmented Matrix for a Linear System;
How to Perform Matrix Row Operations
Calculating the algebraic and geometric dot product of vectors;
The different components of a matrix;
The techniques for writing an augmented matrix;
Adding, multiplying and switching in a matrix
Tuesday Matrix Notation, Equal Matrices and Math Operations with Matrices;
How to Solve Inverse Matrices;
How to Solve Linear Systems Using Gaussian Elimination
The process of properly labeling matrices;
The differences between identity and inverse matrices;
Transforming linear systems into augmented matrices
Wednesday How to Solve Linear Systems Using Gauss-Jordan Elimination;
Inconsistent and Dependent Systems: Using Gaussian Elimination;
Multiplicative Inverses of Matrices and Matrix Equations
An explanation of this process;
The differences between these systems;
Techniques for solving matrices
Thursday How to Take a Determinant of a Matrix;
Solving Systems of Linear Equations in Two Variables Using Determinants;
Solving Systems of Linear Equations in Three Variables Using Determinants
Examples of square matrices;
The steps for using Cramer's rule to solve linear systems;
Techniques for finding determinants and solving a system of equations
Friday Using Cramer's Rule with Inconsistent and Dependent Systems;
How to Evaluate Higher-Order Determinants in Algebra
Identifying inconsistent and dependent systems;
A description of higher-order and minor matrices

16 Lessons in Chapter 26: Vectors, Matrices & Determinants: Lesson Plans
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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