Eigenvalues & Eigenvectors: Definition, Equation & Examples


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How many eigenvalues does a 2 by 2 matrix have?

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1. How many eigenvectors does a 2 by 2 matrix have?

2. Find the eigenvalues of the following matrix.

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About This Quiz & Worksheet

In this quiz and worksheet, you'll answer questions about eigenvectors and eigenvalues. When you take this assessment, you'll be asked about the eigenvalues in various kinds of matrices and about corresponding eigenvectors.

Quiz & Worksheet Goals

Take this quiz to test your ability to:

  • Explain how many eigenvalues are in different kinds of matrices
  • Find the eigenvalues in an example matrix
  • Describe how to find the corresponding eigenvector to an eigenvalue
  • Use equations to identify eigenvalues

Skills Practiced

  • Interpreting information - verify that you can read information regarding how to find corresponding eigenvectors and interpret it correctly
  • Reading comprehension - ensure that you draw the most important information from the related math lesson
  • Problem solving - use acquired knowledge to solve eigenvector and eigenvalue practice problems

Additional Learning

If you'd like to continue learning about this topic, take a look at our lesson called Eigenvalues & Eigenvectors: Definition, Equation & Examples. In this lesson, you'll learn how to:

  • Complete matrix multiplication problems
  • Define eigenvector
  • Explain what a unit eigenvector is