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Math Help - Solving Simultaneous Equations Using Matrices

  1. #1
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    Solving Simultaneous Equations Using Matrices

    I followed the step by step outline in my textbook to solve this equation, but I still got it wrong.

    Could you please tell me where I went wrong and how to fix it?

    Thank you!

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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by positiveion View Post
    I followed the step by step outline in my textbook to solve this equation, but I still got it wrong.

    Could you please tell me where I went wrong and how to fix it?

    Thank you!

    The product of your inverse matrix and constant matrix is incorrect. It should be

    \frac{1}{13}\left[\begin{array}{c}39 \\ 13 \end{array}\right]
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  3. #3
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    Hello, positiveion!

    How did you get 40 and 18 ?


    \begin{bmatrix}x\\y\end{bmatrix} \:=\:\tfrac{1}{13}\begin{bmatrix}2&3\\\text{-}3&2\end{bmatrix}\begin{bmatrix}3\\11\end{bmatrix  } \;=\; \tfrac{1}{13}\begin{bmatrix}2(3) + 3(11) \\ \text{-}3(3) + 2(11) \end{bmatrix} . = \;\tfrac{1}{13}\begin{bmatrix}39 \\ 13\end{bmatrix} \;=\;\begin{bmatrix}3\\1\end{bmatrix}

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