Show that A = P-1= 3 -2 -2 -1 27 [2 0 0 0 20 are similar matrices by finding an invertible matrix P satisfying A = P¹BP. 2 1 -2-4 and B=0 2 4

In general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. In Exercises 38-41, show that A and B are similar by showing that they are similar to the same diagonal matrix. Then find an invertible matrix P such that .