# Ch 27: Vectors, Matrices & Determinants Lesson Plans

The Vectors, Matrices and Determinants chapter of this course is designed to help you plan and teach vectors, matrices and determinants in your classroom. 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 two school weeks (10 school days). 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 Performing operations on vectors
Dot product of vectors
Perform addition, subtraction and multiplication on vectors in a plane. Solve applied problems using vectors
Definition, identification and application of the dot product of vectors
Tuesday The matrix
Augmented matrices
Definition of a matrix
Definition of an augmented matrix and how to write one for a linear system
Wednesday Matrix row operations
Matrix operations
Solving systems using inverse matrices
Definition of matrix row operations and how to perform them
Definition of equal matrices and matrix notation. Explanation of how to add, subtract and multiply matrices
Identify and solve inverse matrices
Thursday Solving linear systems using Gaussian elimination Definition of Gaussian elimination and how it can be used to solve linear systems
Friday Solving linear systems using Gauss-Jordan elimination
Inconsistent and dependent systems
Definition of Gauss-Jordan elimination and how it can be used to solve linear systems
Application of Gaussian elimination to systems without unique solutions or systems with more variables than equations
Monday Multiplicative inverses of matrices and matrix equations Finding the multiplicative inverse of a square matrix and how to use it to solve matrix equations.
Tuesday Determinant of a matrix Definition and steps to take a determinant of a matrix
Wednesday Systems of linear equations in two and three-variables Evaluation of second and third-order determinants. Use of Cramer's rule to solve a system of linear equations with two or three variables
Thursday Cramer's rule with inconsistent and dependent systems How to use determinants to identify inconsistent and dependent systems
Friday How to evaluate higher-order determinants Evaluation of higher-order determinants

16 Lessons in Chapter 27: 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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