Apparently, Matt Miller is stuck on Zinyak's ship in the real world, so you decide to go and help him. Grab the mission from the HUB, then go and speak with Kinzie on the ship. She will give you some Power Armor to use and should it get damaged, you can find repair kits in crates. Also, you don't have access to guns, so you're stuck with the melee attacks.
When you get to the first door, you realize you can't fit through it. Use your jet thrusters to fly all the way to the top and then use your shoulder bash to bust through the door. Hover over to the platform with the guards and then smash the ground to kill them. Bust through the next door and go around this area getting rid of all the guards.
In the next area, you'll need to hover over the two gaps, making sure your thrusters recharge in between. Follow the path to another door and go through it, killing the Zin in this new area. You'll find Matt in one of the side rooms and he will now follow you. He decides to help you with the power armor's lack of weapons, so he will begin searching for parts.
While Matt is searching for parts, you will have to defend him from any incoming attacks from the Zin. It's best to stick close to Matt and not wander off, as the Zin will likely come in from all directions. Clean up the rest of the enemies and Matt will install the weapons on your Power Armor.
You now have access to rockets and a mini-gun of sorts. Shoot the first batch of enemies, then go into the next room to fight a bunch more Zin. Once you clear the area the first time, you'll then have to defend Matt again from numerous waves of enemies, some of which include ships. Eventually, the guns on the Power Armor will malfunction, so clean up the rest of the enemies with your melee attacks.
Once the enemies are clear, make your way to the waypoint where you and Matt will get back on your ship. You'll man the turret and must shoot the enemy ships coming after your own while you escape. One of the battleships from the beginning of the game appears, but you can't damage it so ignore it. When you get to the end, shoot the right panel to finally finish the mission.
