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Basis and Dimension

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Multiple Choice

In a vector space, a set of vectors is said to be linearly independent if:

  1. Every vector in the set can be expressed as a linear combination of the other vectors in the set.
  2. No vector in the set can be expressed as a linear combination of the other vectors in the set.
  3. The set contains the zero vector.
  4. The set contains more vectors than the dimension of the vector space.
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