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Math Help - Circle and matrices

  1. #1
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    Circle and matrices

    I have three points to determine a circle by using matrices 3x3 linear and general form. How do you do this?

    a) points (2,6), (-5,-1) and (-2,8)



    anyone pls help! thanks
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  2. #2
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    Quote Originally Posted by Anemori View Post
    I have three points to determine a circle by using matrices 3x3 linear and general form. How do you do this?

    a) points (2,6), (-5,-1) and (-2,8)
    The equation of a circle has the form x^2+y^2+2gx+2fy+c=0. Plugging in the coordinates (2,6), (-5,-1) and (-2,8) for (x,y), you get three equations for g,f and c:

    . . . . . \begin{aligned}40+4g+12f+c&=0,\\<br />
26-10g-2f+c&=0,\\<br />
68-2g+16f+c&=0.\end{aligned}

    Now write the three equations in matrix form and solve them by the usual reduction process.
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  3. #3
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    Thanks... i can do those matrices.. if not i'll let you know..
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