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Eigenvalues: Definition, Properties & Examples

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

When a matrix multiplies one of its eigenvectors, the eigenvector gets scaled by the associated _____.

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1. Setting the determinant of A - λI to zero gives us what equation?

2. The sum of the diagonal elements of a matrix is called the _____.

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About This Quiz & Worksheet

See what you know about eigenvalues by completing this quiz and worksheet. The quiz focuses on eigenvectors and related terminology from the lesson.

Quiz & Worksheet Goals

The assessment will test your knowledge of:

  • The name of the sum of a matrix's diagonal elements
  • What a matrix doesn't have if the determinant is zero
  • The resulting equation when setting a given determinant to zero

Skills Practiced

  • Information recall - access the knowledge you've gained regarding what the product of the eigenvalues of a matrix is equivalent to
  • Reading comprehension - ensure that you draw the most important information from the lesson on eigenvalues
  • Knowledge application - use your knowledge to answer a question regarding what an eigenvector gets scaled by when a matrix multiplies one of its engenvectors

Additional Learning

Eigenvalues: Definition, Properties & Examples is a lesson that teachers you about eigenvalues. The objectives covered include:

  • Review the parts of matrices
  • Know what a column vector is
  • Understand how to find eigenvalues
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