Think of a fun house mirror that for the sake of this example make you look twice as tall but 20% skinnier. This can be modeled by a two-by-two matrix with eige

Think of a fun house mirror that for the sake of this example make you look twice as tall but 20% skinnier. This can be modeled by a two-by-two matrix with eigenvalues of 2 and 0.8. (Indeed, it will have them on the diagonals which makes it easier to study.)