Diagonalizable Matrices: Proof of AB being Diagonalizable

timberchris · Mar 12, 2011

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

Mark44 · Mar 12, 2011

timberchris said:

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.

Diagonalizable Matrices: Proof of AB being Diagonalizable

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

Homework Statement

Homework Equations

The Attempt at a Solution

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Diagonalizable Matrices: Proof of AB being Diagonalizable

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

Homework Statement

Homework Equations

The Attempt at a Solution

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