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Linear Algebra: Conceptual Question

  1. Oct 11, 2006 #1
    If you want to show that a system of equations is inconsistent, does the matrix have to be in row-reduced echleon form? For example, I have a matrix which as 0,0,0| 1 as a row. The matrix is not in row-reduced echleon form. So can I still conclude that the system is inconsistent? Or would I have to reduce it further to get it to have a row like the one above?

  2. jcsd
  3. Oct 11, 2006 #2

    matt grime

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    There is no reason that anything has to be in row reduced form, other than for computational convenience.
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