# Ch 28: Vectors, Matrices & Determinants in Trigonometry: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school trigonometry work.
- Identify the vectors, matrices and determinants concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our High School Trigonometry Tutoring Solution will benefit any student who is trying to learn about vectors, matrices and determinants to earn better grades. This resource can help students, including those who:

- Struggle with understanding matrix row operations, inconsistent and dependent systems, inverse matrices, Gaussian elimination, Cramer's rule or any other vectors, matrices and determinants topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their vectors, matrices and determinants unit
- Cope with ADD or ADHD
- Want to get ahead in high school trigonometry
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors**: We make learning about vectors, matrices and determinants simple and fun.**Cost Efficient**: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality**: Unlike a live trigonometry tutor, these video lessons are thoroughly reviewed.**Convenient**: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about vectors, matrices and determinants on the go!**Learn at Your Pace**: You can pause and re-watch lessons as often as you'd like, until you master the material.

## Learning objectives

- Solve problems with vectors.
- Apply the dot product of vectors.
- Solve equations by using matrices.
- Write augmented matrices for linear systems.
- Perform matrix operations and matrix row operations.
- List the steps necessary to solve an inverse matrix.
- Use Gaussian and Gauss-Jordan elimination to solve equations.
- Solve inconsistent and dependent systems of equations, and use Cramer's rule.
- Calculate the multiplicative inverse of a matrix equation.
- Learn to take the determinant of a matrix.
- Solve systems of linear equations with determinants.
- Evaluate and provide examples of higher-order determinants.

### 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.

### 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.

### 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.

### 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.

### 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!

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### Other Chapters

Other chapters within the High School Trigonometry: Tutoring Solution course

- Real Numbers - Types and Properties: Tutoring Solution
- Working with Linear Equations in Trigonometry: Tutoring Solution
- Working with Inequalities in Trigonometry: Tutoring Solution
- Absolute Value Equations in Trigonometry: Tutoring Solution
- Working with Complex Numbers in Trigonometry: Tutoring Solution
- Systems of Linear Equations in Trigonometry: Tutoring Solution
- Mathematical Modeling in Trigonometry: Tutoring Solution
- Introduction to Quadratics in Trigonometry: Tutoring Solution
- Working with Quadratic Functions in Trigonometry: Tutoring Solution
- Coordinate Geometry Review: Tutoring Solution
- Functions for Trigonometry: Tutoring Solution
- Understanding Function Operations in Trigonometry: Tutoring Solution
- Graph Symmetry in Trigonometry: Tutoring Solution
- Graphing with Functions in Trigonometry: Tutoring Solution
- Basic Polynomial Functions in Trigonometry: Tutoring Solution
- Higher-Degree Polynomial Functions in Trigonometry: Tutoring Solution
- Rational Functions in Trigonometry: Tutoring Solution
- Rational Expressions & Function Graphs in Trigonometry: Tutoring Solution
- Exponential & Logarithmic Functions in Trigonometry: Tutoring Solution
- Trigonometric Functions: Tutoring Solution
- Geometry in Trigonometry: Tutoring Solution
- Triangle Trigonometry: Tutoring Solution
- Working with Trigonometric Graphs: Tutoring Solution
- Trigonometric Equations: Tutoring Solution
- Working with Trigonometric Identities: Tutoring Solution
- Applications of Trigonometry: Tutoring Solution
- Analytic Geometry & Conic Sections in Trigonometry: Tutoring Solution
- Polar Coordinates & Parameterizations: Tutoring Solution
- Circular Arcs, Circles & Angles: Tutoring Solution