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Elementary Row Operations

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that any multiple of a row can be added to a row above it by row operations of other types.

    2. Relevant equations
    There are only 3 elementary row operations.
    i. Interchange two rows
    ii. Multiply a row by a constant
    iii. Add a multiple of a row to another row.

    3. The attempt at a solution
    I don't think it is possible and would like to confirm this. Without using type iii operations, there is no method of combining two rows.

    Thanks for your help
    -Patrick
     
  2. jcsd
  3. Sep 30, 2009 #2

    Dick

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    You mean can i) and ii) be combined to show iii)? Doesn't seem likely, does it?
     
  4. Sep 30, 2009 #3
    No it seems quite impossible. I'm glad my mathematical intuition isn't completely failing me yet. Thanks Dick!
    -Patrick
     
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