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## Homework Statement

Prove if A and B are two diagonalizable matrices of the same size, then AB is also diagonalizable.

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- Thread starter timberchris
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Prove if A and B are two diagonalizable matrices of the same size, then AB is also diagonalizable.

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Mark44

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## Homework Statement

Prove if A and B are two diagonalizable matrices of the same size, then AB is also diagonalizable.

## Homework Equations

## The Attempt at a Solution

Welcome to Physics Forums!

Being that this is your first post, you probably haven't taken time to look at the rules, which say that you need to make an attempt at a solution before we can help.

What is the definition of a "diagonalizable" matrix? That's pertinent here.

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