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Math Help - Gaussian elimination

  1. #1
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    Gaussian elimination

    Hi,

    Q1. Fit a quadratic polynomial to the points (1,4), (3,8), (-2,8) by writing the general equation, setting up and solving a system of 3 linear equations.

    Use technology to graph the polynomial over the interval x = -4 to x = 4. Add the given points to confirm that the curve you found is correct, by hand.


    ok i understand this question, i subbed in the points and ended up with 3 equations, thus leading to the gaussian elimination matrix:

    4 = a + b + c
    8 = 9a + 3b + c
    8 = 4a - 2b + c

    through the steps i got the answer C = 41, b = -9, a = -2/5

    it was rough, is this correct?

    thanks

    moon
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  2. #2
    Super Member
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    Quote Originally Posted by Moon Hoplite View Post
    Hi,

    Q1. Fit a quadratic polynomial to the points (1,4), (3,8), (-2,8) by writing the general equation, setting up and solving a system of 3 linear equations.

    Use technology to graph the polynomial over the interval x = -4 to x = 4. Add the given points to confirm that the curve you found is correct, by hand.


    ok i understand this question, i subbed in the points and ended up with 3 equations, thus leading to the gaussian elimination matrix:

    4 = a + b + c
    8 = 9a + 3b + c
    8 = 4a - 2b + c

    through the steps i got the answer C = 41, b = -9, a = -2/5

    it was rough, is this correct?

    thanks

    moon
    No. You can check your answers in a guassian elimination by subbing them back into the original equations to see if they are satisfied. The first of your equations is not satisfied by your solutions.
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