True or False Question about Square Matrices

[TheScienceAlliance]

[MHB thread moved to the PF schoolwork forums by a PF Mentor]

For every square matrix A, C=A(A^t)+(A^t)A is symmetric.

 

[pasmith]

For every square matrix A, C=A(A^t)+(A^t)A is symmetric.

Have you considered calculating the transpose of $C$, using the rules $$\begin{split} (A + B)^T &= A^T + B^T, \\ (AB)^T &= B^TA^T? \end{split}$$