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Math Help - Augmented Matrix Question

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    Augmented Matrix Question



    Can someone please help with this question. Thanks
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  2. #2
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    Quote Originally Posted by ndcruz View Post


    Can someone please help with this question. Thanks
    Using row-reduction:

    \left[\begin{array}{cccc}2 & 1 & | & 0 \\ 1 & -2 & | & -5 \\ \end{array}\right]

    Multiply R1 by 2:

    \left[\begin{array}{cccc}4 & 2 & | & 0 \\ 1 & -2 & | & -5 \\ \end{array}\right]

    Add R2 to R1:

    \left[\begin{array}{cccc}5 & 0 & | & -5 \\ 1 & -2 & | & -5 \\ \end{array}\right]

    Multiply R1 by 1/5:

    \left[\begin{array}{cccc}1 & 0 & | & -1 \\ 1 & -2 & | & -5 \\ \end{array}\right]

    Subtract R2 from R1:

    \left[\begin{array}{cccc}1 & 0 & | & -1 \\ 0 & 2 & | & 4 \\ \end{array}\right]

    Multiply R2 by 1/2:

    \left[\begin{array}{cccc}1 & 0 & | & -1 \\ 0 & 1 & | & 2 \\ \end{array}\right]

    Solution (-1, 2)
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