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Math Help - Reduce the following quadratic form to canonical form.

  1. #1
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    Reduce the following quadratic form to canonical form.

    I encountered next and the last problem from algebra, I hope you will be able to help me, because my books aren't enough to explain this for me

    Reduce the following quadratic form to canonical form. Express the new variables in terms of
    the old ones.
    f(x, y, z) = x^2 + 4y^2 + 3z^2 + 4xy − 6xz + 4yz
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Reduce the following quadratic form to canonical form.

    Quote Originally Posted by brianbrian View Post
    I encountered next and the last problem from algebra, I hope you will be able to help me, because my books aren't enough to explain this for me

    Reduce the following quadratic form to canonical form. Express the new variables in terms of
    the old ones.
    f(x, y, z) = x^2 + 4y^2 + 3z^2 + 4xy − 6xz + 4yz
    There are several ways to solve the problem, Gauss method, orthogonal diagonalization, elementary transformatios (rows and columns),... .What method have you covered?
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  3. #3
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    Re: Reduce the following quadratic form to canonical form.

    So this should be solved as matrix? I am familliar with gauss method.
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