A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is
1. $10 \: \Omega$
2. $100 \: \Omega$
3. $100 \: k \Omega$
4. $1000 \: k \Omega$