(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find two 2 × 2 matrices A and B such that AB fails to be similar to

BA. Hint: it can be arranged that AB is zero but BA is not.

2. Relevant equations

N/A

3. The attempt at a solution

If AB similar to BA, AB = S^{-1}BAS for some S, so AB DNE S^{-1}BAS?

Or maybe det(AB) DNE det(BA)

I'm really not sure how to do this without guess and check, which I also tried and failed at

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# Homework Help: Linear Algebra Similar Matrices Problem

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