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Understanding this step

  1. Apr 10, 2014 #1
    x1 1 1 0 0
    x2 0 0 1 1
    x3 = 1 + -1 + 0 + 0 Each of these numbers in vertical form are meant to be
    x4 0 0 1 -1 vectors

    Where do these coefficients come from 0.5(x1+x3) 0.5(x1-x3) 0.5(x2+x4) 0.5(x2=x4)
    The first coefficient goes in front of vector one and so on..

    Thanks
     
  2. jcsd
  3. Apr 10, 2014 #2

    mathman

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    I think you should start from the beginning. Also fix typos.
     
  4. Apr 11, 2014 #3

    HallsofIvy

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    It's impossible to tell what you mean. I presume that you intended to say
    [tex]\begin{bmatrix}x_1 & x_2 & x_3 & x_4\end{bmatrix}= \begin{bmatrix}1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1\end{bmatrix}[/tex]
    or
    [tex]\begin{bmatrix}x_1 \\ x_2 \\ x_3 \\ x_4\end{bmatrix}= \begin{bmatrix}1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1\end{bmatrix}[/tex]


    But I don't know what "0.5(x1+x3) 0.5(x1-x3) 0.5(x2+x4) 0.5(x2=x4)" is supposed to mean. I presume that last is supposed to be "x2- x4". What were those terms supposed to equal?
     
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