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Row Space and Column Space

Row Space and Column Space. Row Space and Column Space. Example. Row Space. [2 1 3]. [1 1 1]. Row Space. [2 1 3]. [1 1 1]. Column Space. Column Space. [3 1] T. [2 1] T. [1 1] T. Null Space. Example. Row Space. [2 1 3]. [-2 1 1] T. Row Space. [2 1 3]. [-2 1 1] T.

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Row Space and Column Space

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  1. Row Space and Column Space

  2. Row Space and Column Space

  3. Example

  4. Row Space [2 1 3] [1 1 1]

  5. Row Space [2 1 3] [1 1 1]

  6. Column Space

  7. Column Space [3 1]T [2 1]T [1 1]T

  8. Null Space

  9. Example

  10. Row Space [2 1 3] [-2 1 1]T

  11. Row Space [2 1 3] [-2 1 1]T

  12. Effects of Row Operations

  13. Theorem

  14. Theorem

  15. Example

  16. Theorem

  17. Rank

  18. Nullity

  19. The Rank-Nullity Theorem

  20. The Consistency Theorem

  21. Theorem

  22. Solution Set v1 x0 v2

  23. Theorem

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