Subspace

A subset W of Rn is a subspace of Rn if:

  1. the zero vector is in W;
  2. x+y is in W whenever x and y are in W; and
  3. ax is in W whenever x is in W and a is any scalar.

See also: Dimension of a Subspace, Orthogonal Complement of a Subpace.

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Subjects: Algebra