How to Determine the Eigenvectors of a Matrix


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In order to find a matrix's eigenvectors, we solve the following equation. Which of this equation's variables represents the eigenvectors?

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1. Which of the following statements is NOT true?

2. Find the eigenvectors associated with the eigenvalue of 4 for the following matrix.

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About This Quiz & Worksheet

For this quiz and worksheet combination, you are looking at the eigenvectors of a matrix. Questions focus on solving an equation to find eigenvectors along with finding those eigenvectors associated with a specific value.

Quiz & Worksheet Goals

You can find the topics mentioned below in the questions of the quiz:

  • Variables representing eigenvectors
  • Characteristics of eigenvectors
  • Finding eigenvectors associated with specific values

Skills Practiced

  • Information recall - remember what you have learned about the properties of eigenvectors
  • Knowledge application - use what you know to answer questions about variables that represent eigenvectors
  • Problem solving - utilize your skills to solve practice problems involving specific eigenvalues

Additional Learning

To see more about matrices, go to the lesson titled How to Determine the Eigenvectors of a Matrix, which contains the additional topics mentioned below:

  • Row operations
  • Vectors
  • More practice problems