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Tensor for a matrix

  1. Oct 3, 2009 #1
    1. The problem statement, all variables and given/known data
    How can you present the following matrix by a tensor?

    + - + - +...
    - + - + - ...
    + - + - +...
    .
    .
    .


    3. The attempt at a solution

    The sum of indexes where is "=" is even so

    + [aij, i+j = 2n]

    How can you write the tensor correctly?
     
  2. jcsd
  3. Oct 3, 2009 #2
    I don't understand any of your notation.

    Is the matrix filled with elements that are either +1 or -1 ?

    I think you would like to express aij as a function of i and j, right?
     
  4. Oct 4, 2009 #3
    I am trying to write the +/- rule of the determinant calculation by tensors.
    This means that I am trying to get the matrix filled with elements that are either +1 or -1.

    2. I feel that the point of tensor analysis is to express aij as a function of i and j.
    If this is true, then I would like to express aij as a function of i and j.
     
  5. Oct 4, 2009 #4
    Ok. You're looking for a function, aij= f(i,j).
     
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