Tensor for Matrix: How to Represent a Given Matrix Using a Tensor

[soopo]

Homework Statement

How can you present the following matrix by a tensor?

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

The Attempt at a Solution

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

+ [a^ij, i+j = 2n]

How can you write the tensor correctly?

 

[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 a^ij as a function of i and j, right?

 

[soopo]

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

I think you would like to express a^ij as a function of i and j, right?

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 a^ij as a function of i and j.
If this is true, then I would like to express a^ij as a function of i and j.

 

[Phrak]

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