Engineering Mathematics Linear Algebra Determinants

Let A be a nonsingular diagonalizable matrix of order 3 with eigenvalues λ₁, λ₂, λ₃. Then A^-1 is diagonalizable if:

1

λ₁ = 2, λ₂ = 1, λ₃ = 3

2

λ1 = 1, λ2 = 2, λ3 = 0

3

λ1 = 0, λ2 = 0, λ3 = 0

4

λ1 = 2, λ2 = 0, λ3 = 0

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