Ch 6: Eigenvalue and Eigenvector in Linear Algebra: Tutoring Solution

About This Chapter

The Eigenvalue and Eigenvector in Linear Algebra chapter of this Linear Algebra Tutoring Solution is a flexible and affordable path to learning about eigenvalues and eigenvectors. These simple and fun video lessons are each about five minutes long and they teach all the operations involving eigenvalues and eigenvectors required in a typical Linear Algebra course.

How it works:

  • Begin your assignment or other linear algebra work.
  • Identify the eigenvalue and eigenvector 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 eigenvalue and eigenvector in linear algebra and earn better grades. This resource can help students including those who:

  • Struggle with understanding the definition and equations of eigenvalue and eigenvector, eigenspaces, diagonalization or any other eigenvalue and eigenvector 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 eigenvalue and eigenvector 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 eigenvalue and eigenvector 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 eigenvalue and eigenvector 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

  • Study the definition and equations of eigenvalue and eigenvector.
  • Review how to determine the eigenvalues and eigenvectors of a matrix.
  • Understand how to define eigenspaces.
  • Examine diagonalization.
  • Describe diagonalizing symmetric matrices.

5 Lessons in Chapter 6: Eigenvalue and Eigenvector in Linear Algebra: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Eigenvalues & Eigenvectors: Definition, Equation & Examples

1. Eigenvalues & Eigenvectors: Definition, Equation & Examples

Every square matrix has special values called eigenvalues. These special eigenvalues and their corresponding eigenvectors are frequently used when applying linear algebra to other areas of mathematics.

How to Determine the Eigenvalues of a Matrix

2. How to Determine the Eigenvalues of a Matrix

Together we'll learn how to find the eigenvalues of any square matrix. Once we've got that down we'll practice finding eigenvalues by going through an example with a 2x2 matrix, and one with a 3x3 matrix.

How to Determine the Eigenvectors of a Matrix

3. How to Determine the Eigenvectors of a Matrix

In this lesson, you'll explore the subject of eigenvectors. After learning what an eigenvector is in concept, we'll solidify in your mind how to find them by working through an example problem together.

Diagonalization: Definition & Example

4. Diagonalization: Definition & Example

Diagonalization is the process of transforming a matrix into diagonal form. Diagonal matrices represent the eigenvalues of a matrix in a clear manner. This lesson will focus on finding the diagonalized form of a simple matrix.

Diagonalizing Symmetric Matrices: Definition & Examples

5. Diagonalizing Symmetric Matrices: Definition & Examples

In this lesson, we define symmetric and diagonal matrices. We then use eigenvalues and eigenvectors to form a very special matrix which is then used to diagonalize a symmetric matrix.

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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