In Problems 15–18, apply Theorem 4 (that is, calculate a determinant) to determine whether the given vectors u, v, and w are linearly dependent or independent.

u = (1, -1, 2), v = (3, 0, 1), w = (1, -2, 2)

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THEOREM 4 Three Linearly Independent Vectors The vectors u = (₁, U2, U3), V = (v₁, V2, V3), and w = (w₁, W2, W3) are linearly independent if and only if U₁ V₁ W₁ U2 V2 W2 0. U3 V3 W3 (8)