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Thread: Determinant >_<

  1. March 19th 2010, 04:11 PM #1
    GOKILL
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    Arrow Determinant >_<

    If f:\mathbb{R}^2\mapsto\mathbb{R}^2\text{ where } f((x_1,x_2))=(x_1+2x_2,2x_1+x_2)\forall x_1,x_2\in\mathbb{R},\text{ then find } f^{-1}
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  2. March 19th 2010, 05:12 PM #2
    TKHunny
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    The inverse of a 2x2 matrix can't be hard, can it? What am I missing?

    f^{-1}(u,v)\;=\;\frac{1}{3}(-u+2v,2u-v)
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