# Cayley-Hamilton Theorem Definition, Equation & Example

Instructions:

question 1 of 3

### The Caley-Hamilton theorem deals only with _____.

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### 2. A 2-by-2 matrix has 2 and 3 in the first row; 0 and 1 in the second row. Calculate the characteristic polynomial p(λ).

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The Cayley-Hamilton theorem is the main topic of this combination of a quiz and worksheet. You are asked about what the theorem deals with and how to apply the theorem to a given problem.

## Quiz & Worksheet Goals

Expect to see the following topics appearing in the quiz questions:

• The shapes dealt with by the Cayley-Hamilton theorem
• Calculating a characteristic polynomial
• An equation resulting from the use of the theorem
• Finding an inverse matrix

## Skills Practiced

• Defining key concepts - ensure that you can name the type of matrices associated with the Cayley-Hamilton theorem
• Information recall - remember what you have learned about inverse matrices
• Problem solving - use what you know to solve practice problems involving characteristic polynomials