The set of all A ∈ R for which the vectors (2, A, 0), (0, A2, 2), and (2, 0, A) are linearly dependent

1
{A ∈ R : A2 ≠ 0}
2
{A ∈ R : A2 = - 2}
3
{A ∈ R : A2 = 0}
4
{A ∈ R : A2 ≠ 1}

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