Let A be a non-singular diagonalisable matrix of order 3 with eignvalues λ1, λ2, λ3. A-1 is diagonalisable if:

1
λ1 = 2,λ2 = 0, λ3 = -1
2
λ1 = 0, λ2 = 3, λ3 = -2
3
λ1 = -1, λ2 = 2,λ3 = -3
4
λ1 = -3, λ2 = 1, λ3 = 0

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