Question 2. Let A be a matrix in M14 (C) such that • The minimal polynomial of A is (X-A₁)²(X-2) (X-3)²(x-14)³, with A1, A2, A3 and A4 four different complex numbers. rank (A - I) = 11, rank(A - I)² 11, rank (AI)² = 10, rank(A - λ31) = 12, rank(A31)² = 10, rank(A - I) 13. Find the Jordan canonical form of A, and the trace, the determinant and the characteristic polyno- mial of A.

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