Let A = [-3,2,6
0,-1,6
0,0,-3]
Find an invertible matrix P and a diagonal matrix D such that D = P^{-1}AP.
find P and D
I worked out the polynomial -7x^3-7x^2-15x-9 to give x= -1,-3,-3
My answer for P= [1,0,0
1,-3,-3
0,1,1]
and D= -1,0,0
0,-3,0
0,0,-3
something's wrong!

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what type of decomposition are you doing here ?

you should get D=dia(-3,-1,-3)

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