Consider the real matrix
$$A = \left( \begin{array} { l l }
\lambda & 2 \\
3 & 5
\end{array} \right)$$
Assume that $-1$ is an eigenvalue of $A$. Which of the following are true?\\
(A) The other eigenvalue is in $\mathbb { C } \backslash \mathbb { R }$.\\
(B) $A + I _ { 2 }$ is singular.\\
(C) $\lambda = 1$.\\
(D) Trace of $A$ is 5.