# The components of a tensor.

1. Jun 13, 2013

### peripatein

Hi,
1. The problem statement, all variables and given/known data
The components of the tensor Ai j are A1 2 = A2 1 = A, whereas all the other components are zero. I am asked to write A(BAR)i j, following a transformation to a new coordinate system, given that ∂q(BAR)k/∂qn = Rnk. I am expected to write my answer in terms of R.

2. Relevant equations

3. The attempt at a solution
I know that A(BAR)i j = ∂q(BAR)i/∂qm * ∂q(BAR)j/∂qn * Am n
But how may I proceed?

2. Jun 15, 2013

### peripatein

I am wondering why no one has yet replied to this question.
Nevertheless, if any one is reading this, I'd appreciate some help with this.
I happen to know that the answer is:
$\bar{A}$ij = RilRjmAlm, but how may I bring under account the fact that Axy = Ayx = A?