MHB 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 <br /> \begin{split}<br /> (A + B)^T &amp;= A^T + B^T, \\<br /> (AB)^T &amp;= B^TA^T? \end{split}