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.