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Linear Independence

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Multiple Choice

Which of the following sets of vectors is linearly independent in the vector space of polynomials of degree 2 or less?

  1. {(1, 0, 0), (0, 1, 0), (0, 0, 1)}
  2. {(1, 1, 0), (1, 0, 1), (0, 1, 1)}
  3. {(1, 2, 3), (4, 5, 6), (7, 8, 9)}
  4. {(1, 0, 1), (0, 1, 1), (1, 1, 1)}