Let A be a 3 × 3 diagonalizable matrix whose eigenvalues are λ₁ = 4, λ2 = −1, and №3 = −2. If V₁ = [1 0 0], V₂= [1_1_0], V³ = [0_1_1] are eigenvectors of A corresponding to №₁, №2, and X3, respectively, then factor A into a product PDP-¹ with D diagonal, and use this factorization to find A5. A5 =

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