In each of the following six matrices, factor the matrix A into a product of XDX^-1 , where D is diagonal. Please show me all the steps on how to find X and D.

A = 0 1

1 0

A = 5 6

-2 -2

A = 2 -8

1 -4

A= 2 2 1

0 1 2

0 0 1

A = 1 0 0

-2 1 3

1 1 -1

A= 1 2 -1

2 4 -2

3 6 -3