Linear algebra symbols

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Across
  1. 3. A × B
  2. 4. Ø
  3. 5. A ∩ B
  4. 6. set membership
  5. 9. |B|
  6. 11. A ⊆ B
  7. 12. { }
  8. 14. A = B
  9. 15. A ⊂ B
Down
  1. 1. A ∆ B
  2. 2. A ∪ B
  3. 7. A ⊄ B
  4. 8. collection of 2 elements
  5. 10. A ⊇ B
  6. 13. P (C)