# How to Determine the Eigenvalues of a Matrix

Instructions:

question 1 of 3

### What is the general equation we use to find the eigenvalues of any nxn matrix (A)?

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### 2. Find all the eigenvalues of the following 2x2 matrix (A).

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To pass the quiz and worksheet you have to know how to find the eigenvalues of a given matrix. You must also know the way to determine how many eigenvalues can be found in a given matrix.

## Quiz & Worksheet Goals

Questions test knowledge of:

• Matrix multiplication
• Vector multiplication
• Finding an eigenvalue for a given matrix

## Skills Practiced

• Information recall - access the knowledge you've gained regarding the general equation for finding the eigenvalues of an 'n' x 'n' matrix
• Reading comprehension - ensure that you draw the most important information from the lesson on eigenvalues
• Knowledge application - use your knowledge to find the eigenvalues by solving a polynomial for its roots