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4-1

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Subspace

  • A vector set V is called a subspace if it has the following three properties:
  • 1. The zero vector 0 belongs to V
  • 2. If u and w belong to V, then u+w belongs to V

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  • 3. If u belongs to V, and c is a scalar, then cu belongs to V

Closed under (vector) addition

Closed under scalar multiplication

2+3 is linear combination

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