sdpt3 "Only scalar terms can be added to a logdet term"

[Wanming Hao]

I would like to solve the following plroblem:

X=sdpvar(4,4,'hermitian','complex')

Obj=logdet(X+1)+X

F=[trace(X)<=10]

ops = sdpsettings('solver','sdpt3','verbose',1);

sol = solvesdp(F,-Obj,ops);

But the results show that "Only scalar terms can be added to a logdet term", if there is any method can be used   to solve the above problem? Thank you.

[Johan Löfberg]

well, as it says, the objective makes no sense. What does it mean to minimize X when X is a matrix?? Perhaps you mean trace(X)