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Math Help - Help using row operations to find X1,X2, and X3

  1. #1
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    Jun 2010
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    Help using row operations to find X1,X2, and X3

    this is the given matrix:


    | -6 0 4 8 |
    | -2 1 0 4 |
    | 3 -4 7 -2|


    i ended up with
    x1 = 0
    x2 = 4
    x3 = 2


    can someone verify if this is right?
    thanks
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, seanP!

    This is the given matrix: . \left|\begin{array}{ccc|c} \text{-}6 & 0 & 4 & 8 \\\text{-}2 & 1 & 0 & 4 \\ 3 & \text{-}4 & 7 & \text{-}2\end{array}\right|

    I ended up with: . \begin{Bmatrix} x_1 &=& 0 \\ x_2 &=& 4 \\ x_3 &=& 2 \end{Bmatrix}

    Can someone verify if this is right?

    To check your answers, substitute into the original system of equations:

    . . \begin{array}{ccc}\text{-}6x_1 \qquad\;\; + 4x_3 &=& 8 \\<br />
\text{-}2x_1 + \;x_2 \qquad \;\;\;&=& 4 \\<br />
3x_1 - 4x_2 + 7x_3 &=& \text{-}2 \end{array}
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