Matrix problem

1. Jun 10, 2007

neelakash

1. The problem statement, all variables and given/known data

We are to show that (A)(A^T) is a symmetric matrix using tensor notation.

Where ^T denotes TRANSPOSE
2. Relevant equations
3. The attempt at a solution

I did it in the following way:
Let P=(A)(A^T)
Then,
p_ik=(a_ij)(a_jk) Where A=a_ij and A^T=a_jk
=(a_jk^T)(a_ji)
=(a_kj)(a_ji)
=p_ki

hence proved.
Please tell if I am correct.

2. Sep 7, 2007

EnumaElish

It seems right.