- #1

- 1

- 0

## Homework Statement

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.

## Homework Equations

N/A

## 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