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.

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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