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Homework Help: 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
  2. jcsd
  3. Sep 30, 2009 #2


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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!
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