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Question about row echelon form

  1. Jul 10, 2010 #1
    Is row echelon form an upper triangular matrix? if so, does this mean that its determinant could be 1 or 0? Even if its row equivalent has a different determinant? Please Answer and thanks.
     
  2. jcsd
  3. Jul 10, 2010 #2

    HallsofIvy

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    Yes, a "row echelon" matrix has all "0"s below the main diagonal- "upper triangular". The numbers on the diagonal do NOT have to be "1"s.

    You can always reduce a matrix to row echelon form by row operations and those may affect the determinant:

    If you multiply a row by a number, the determinant is multiplied by that number.

    If you swap two rows, the determinant is multiplied by -1.

    If you add a multiple of one row to another, the determinant is not changed.
     
  4. Jul 10, 2010 #3
    Right! Thank you! This is my first post and i find this site helpful. Thanks!
     
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