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Let A = 2 -1 0 1 0 3 -1 0 0 1 1 0 0 -1 0 3 The characteristic polynomial of A is p(r)=(r-3)*(r-2)^3.

Let A = 2 -1 0 1
0 3 -1 0
0 1 1 0
0 -1 0 3
The characteristic polynomial of A is p(r)=(r-3)*(r-2)^3. There exists an invertible matrix C such that (C-)AC=J where J is Jordan block form and (C-) is inverse of C. Find J and justify your work.

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solution504917.pdf

Matrix is given 2 −1 0 0 3 −1 0 1
1
0 −1 0 1
0 0
3 then characteristic polynomial is given by 2 − λ −1
0
1
0
3 − λ −1
0
Det 0
1
1−λ
0
0
−1
0
3−λ =0 and solving this we get 3...

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