In general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. 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 P^-1AP = B.

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2 -5 3 0 -2 1 A = B = | 1 -1 2 -4.