# Ch 28: Vectors, Matrices & Determinants in Trigonometry: Homework Help

### About This Chapter

## How it works:

- Identify which concepts in vectors, matrices and determinants are covered on your homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your homework on vectors, matrices and determinants with ease!

## Topics from your homework you'll be able to complete:

- Writing augmented matrices for linear systems
- Performing matrix row operations
- Learning how to take a determinant of a matrix
- Evaluating second order determinants
- Understanding equal matrices
- Performing addition, subtraction and multiplication operations on vectors in the plane
- Applying the dot product of vectors
- Solving systems using inverse matrices
- Evaluating 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: Homework Help Resource course

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