As you can check, the matrix A= - 1 2 -2 -2 has an eigenvalue -1 with eigenvector 4 7 1 and an eigenvalue 3 of multiplicity 2 with eigenvector -1 but all other eigenvectors for > A 2 scalar multiples of ₁ -1 so A has a defect of 1. Find a generalized eigenvector 2 for 3

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