# Eigenvalues: Definition, Properties & Examples

Instructions:

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question 1 of 3

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

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

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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