Question: 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

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.

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

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