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Math Help - row reduced echelon form

  1. #1
    Junior Member
    Joined
    Mar 2009
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    30

    Exclamation row reduced echelon form

    The following matrix needs to be simplified...

    −8 0 −24 −8 −9
    2 1 8 4 1
    1 0 3 1 1
    −1 1 −1 1 0

    I did row operations and i end up with

    1 0 3 1 9/8
    0 1 2 2 1/3
    0 1 2 2 1
    -1 1 -1 1 0

    though i doubt that is correct.
    any ideas on where i went wrong or how i can fix this?
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, linearalgebra!

    The following matrix needs to be simplified:

    . . \left[\begin{array}{cccc|c} \text{-}8 & 0 & \text{-}24 & \text{-}8 & \text{-}9 \\<br />
2&1&8&4&1 \\  1&0&3&1&1 \\<br />
\text{-}1 & 1 & \text{-}1 & 1 & 0 \end{array}\right]

    \begin{array}{c}R_1+8R_3 \\ \\ \\ \\ \end{array} \left[\begin{array}{cccc|c} 0&0&0&0&\text{-}1 \\<br />
2&1&8&4&1 \\<br />
1&0&3&1&1 \\<br />
\text{-}1 & 1 & \text{-}1 & 1 & 0 \end{array}\right]


    We have a row of zeros and the last term is not zero.

    The system has no solution.

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