Ch 5: Determinants in Linear Algebra: Tutoring Solution

About This Chapter

The Determinants in Linear Algebra chapter of this Linear Algebra Tutoring Solution is a flexible and affordable path to learning about determinants. These simple and fun video lessons are each about five minutes long and they teach how to perform the mathematical operations involving determinants as required in a typical linear algebra course.

How it works:

  • Begin your assignment or other linear algebra work.
  • Identify the 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 Linear Algebra Tutoring Solution will benefit any student who is trying to learn determinants in linear algebra and earn better grades. This resource can help students including those who:

  • Struggle with understanding how to take a determinant of a matrix, solve systems of linear equations using determinants, evaluate higher-order determinants or any other determinants in linear algebra 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 determinants in linear algebra unit
  • Cope with ADD or ADHD
  • Want to get ahead in linear algebra
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning determinants in linear algebra 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 algebra tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn determinants in linear algebra on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning objectives

  • Review how to take a determinant of a matrix.
  • Learn how to solve systems of linear equations in two and three variables using determinants.
  • Study how to evaluate high-order determinants in algebra.
  • Understand how to derive Laplace expansions for the determinant.

5 Lessons in Chapter 5: Determinants in Linear Algebra: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
How to Take a Determinant of a Matrix

1. 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!

Solving Systems of Linear Equations in Two Variables Using Determinants

2. Solving Systems of Linear Equations in Two Variables Using Determinants

Watch this video lesson to learn how you can easily find the solution of a linear system in two variables by just using determinants. All you need to find the complete solution is to find three determinants.

Solving Systems of Linear Equations in Three Variables Using Determinants

3. Solving Systems of Linear Equations in Three Variables Using Determinants

Watch this video lesson to learn how to use Cramer's rule to help you find your solutions by finding just four determinants. Learn the numbers to use for your determinants.

How to Evaluate Higher-Order Determinants in Algebra

4. How to Evaluate Higher-Order Determinants in Algebra

Watch this video lesson to learn the rules for taking the determinant of any size matrix. Learn the kind of matrix that you need before you can take the determinant. Watch as the pattern of the determinant takes shape.

Laplace Expansion Equation & Finding Determinants

5. Laplace Expansion Equation & Finding Determinants

It is fascinating how a single number can tells us something about a matrix. One such number is the determinant. In this lesson we find determinants using the Laplace expansion equation.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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