# Homework Help: Tensor for a matrix

1. Oct 3, 2009

### soopo

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. Oct 3, 2009

### Phrak

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?

3. Oct 4, 2009

### soopo

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.

4. Oct 4, 2009

### Phrak

Ok. You're looking for a function, aij= f(i,j).