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Math Help - help solving a matrix equation

  1. #1
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    help solving a matrix equation

    [a-b b+a
    3d+c 2d-c] = [8 1; 7 6]

    Sorry I don't know how to format the matrix. No steps taken yet, I have no idea how to proceed... have to find a, b, c ,d.
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  2. #2
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    Re: help solving a matrix equation

    \begin{bmatrix}a- b & b+ a \\ 3d+ c & 2d- c\end{bmatrix}= \begin{bmatrix}8 & 1 \\ 7 & 6\end{bmatrix}

    Do you at least know what it means to say that two matrices are equal? It means that corresponding entries are equal:
    a- b= 8, b+ a= 1, 3d+ c= 7, 2d- c= 6.

    Solve the first two equations for a and b, the last two for c and d.
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  3. #3
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    Re: help solving a matrix equation

    I know what it means... >< So far we've only done (reduced) row echelon form and got into multiplying matrices, this is the first time we've seen integers/equations in the matrix like a-b and also a 2 column matrix on the right. Still don't know how to solve this...
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  4. #4
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    Re: help solving a matrix equation

    nevermind, I figured it out with basic algebra =/ Sorry, I'm just getting back into college after some years off and my last math class was about 5 years ago...
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