Question

For lambda = -2, we have A - lambda I = A - (-2)I = A + 2I and so E_(-2) = Nu l(A + 2I). [[A + 2I], [0]] = [[1, -1, 1, 0], [0, 0, 0, 0], [2, -2, 2, 0]] → (R_3 - 2R_1) → [[1, -1, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0]].