Given correlation matrix $B$ (hermitian with ones in the diagonal).

1)Find the correlation matrix $A$ which maximizes $\det\left(A+B\right)$.
2)Find the correlation matrix $A$ which minimizes $\det\left(A+B\right)$

Given correlation matrix $B$ (positive semi-definite with ones in the diagonal).

1)Find the correlation matrix $A$ which maximizes $\det\left(A+B\right)$.
2)Find the correlation matrix $A$ which minimizes $\det\left(A+B\right)$

Let $A$ and $B$ be two correlation matrices (with unity diagonal).

Find the matrix $A$ which maximizes/minimizes $\det\left(A+B\right)$.

Given correlation matrix $B$ (hermitian with ones in the diagonal).

1)Find the correlation matrix $A$ which maximizes  $\det\left(A+B\right)$.
2)Find the correlation matrix $A$ which minimizes $\det\left(A+B\right)$