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Ch 28: Vectors, Matrices & Determinants in Trigonometry: Help and Review

About This Chapter

The Vectors, Matrices and Determinants chapter of this High School Trigonometry Help and Review course is the simplest way to master vectors, matrices and determinants. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of vectors, matrices and determinants.

Who's it for?

Anyone who needs help learning or mastering high school trigonometry material will benefit from taking this course. There is no faster or easier way to learn high school trigonometry. Among those who would benefit are:

  • Students who have fallen behind in understanding how matrices and their determinants can be used to solve systems of linear equations
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about vectors, matrices and determinants
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Vectors, Matrices & Determinants in Trigonometry chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Vectors, Matrices & Determinants in Trigonometry chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any vectors, matrices and determinants question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a vectors, matrices and determinants unit of a standard high school trigonometry course. Topics covered include:

  • Performing operations on vectors in the plane
  • Applying the dot product of vectors
  • Writing augmented matrices
  • Performing matrix row operations
  • Adding, subtracting and multiplying matrices
  • Solving linear systems using inverse matrices
  • Using Gaussian elimination to solve linear systems
  • Solving linear systems using Gauss-Jordan elimination
  • Solving inconsistent and dependent linear systems
  • Determining the multiplicative inverse of a square matrix
  • Taking the determinant of a matrix
  • Solving linear systems in two or three variables using determinants
  • Using Cramer's rule with inconsistent and dependent systems
  • Evaluating higher-order determinants

7 Lessons in Chapter 28: Vectors, Matrices & Determinants in Trigonometry: Help and Review
Test your knowledge with a 30-question chapter practice test
What is a Matrix?

1. What is a Matrix?

As math gets more and more complicated and there become more and more numbers flying around, it becomes really handy to put all these numbers in a nice organized grid... hello matrices! Learn about what they are and why there are used.

How to Solve Linear Systems Using Gaussian Elimination

2. How to Solve Linear Systems Using Gaussian Elimination

Watch this video lesson to learn an easy way to solve a system of equations that involves manipulating a matrix. Learn the kinds of easy matrix manipulations that are needed to solve any system of equations.

How to Solve Linear Systems Using Gauss-Jordan Elimination

3. How to Solve Linear Systems Using Gauss-Jordan Elimination

You will come across simple linear systems and more complex ones as you progress in math. Watch this video lesson to learn how you can use Gauss-Jordan elimination to help you solve these linear systems.

Multiplicative Inverses of Matrices and Matrix Equations

4. Multiplicative Inverses of Matrices and Matrix Equations

Watch this video lesson to learn about another method you can use to solve a matrix problem if you are given the inverse of the matrix. You will also learn the identifying mark of the multiplicative inverse of a matrix.

How to Take a Determinant of a Matrix

5. How to Take a Determinant of a Matrix

Matrices are incredibly powerful and can help you do all sorts of things, but one of the most basic (and surprisingly helpful) operations you can perform on one is to take its determinant. Learn how to do that here!

Resultant Vector: Definition & Formula

6. Resultant Vector: Definition & Formula

In this lesson, you'll learn about resultant vectors and when they should be used. You'll also find out how to work with the head-to-tail method and have the chance to apply your new knowledge to some practice problems.

Singular Matrix: Definition, Properties & Example

7. Singular Matrix: Definition, Properties & Example

The use of a matrix is a very old mathematics practice. This lesson will define the singular matrix, but before we can dive into the concept of this matrix, we'll need to discuss some important basics.

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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Other Chapters

Other chapters within the High School Trigonometry: Help and Review course

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