Instruction: Generate an answer to the question by utilizing the information contained in the document.

Input:
Question: I have two desktop computers which each have their own monitor. Will this KVM work with a single keyboard and mouse and no monitor connection?
Document: The Trendnet 2-Port USB KVM Switch works on my bench running two computers with a single Keyboard, monitor, mouse, speakers, and microphone. I use the buttons on top to switch computers. I didn't load the software, didn't need it. I am quite satisfied with the purchase and the performance of this unit. Good job TrendNet.
I bought this KVM switch for my home office so that I wouldn't have to crawl behind the desk to disconnect my monitor and keyboard from my desktop whenever I wanted to use my laptop with them. That was a complete pain. Now, I always have a waiting connection for my laptop and just by turning it on, the KVM switch automatically switches everything to my laptop.Also, imagine my delight when I plugged my Logitech Unifying Receiver into the KVM's USB port for my wireless keyboard and mouse and it just worked.
Does exactly what I need it to: allows me to switch by keyboard, mouse & speakers between two computers. I LOVE that it only requires a single USB port on each computer to achieve this. The only thing on my wish list would be switching for my HD monitor (no HDMI ports on this). But I am able to switch my monitor on its own, since there are two cable ports on the monitor itself, so it's not a heartbreak.
I got this nifty device a couple of weeks ago and so far it's working great! I have a single cramped desk for my personal and work PC and two monitors and two keyboards and two mice. Now I'm able to share the monitor, keyboard, and mouse for one PC. The device is plug-and-play and it doesn't require its own power supply, which is a big help. You get special cables with the device that go to your PC.
TRENDnet TK-209K 2-Port USB KVM Switch Kit with Audio (Includes 2x KVM Cables)Wow! This device performed as advertised and required nothing extra. It was simple to connect and two computers work (one-at-a-time) with the same monitor, keyboard, mouse and audio system. I love it for a total price of about $28, which included shipping. TRENDnet is super!
I wanted to use one keyboard, mouse and monitor for two computers (one a laptop and the other a desktop). Works perfectly. I can even use one set of speakers for both!
Keyboard/Video/Monitor - I work at home with a desktop computer provided by the company. I also have a personal laptop. With this switch, I can use the same keyboard, monitor, and mouse, between the two systems (not simultaneously).
My Desktop has a video card that has two monitor outputs, one is VGA out and the other is DVI-I out. They are each hooked up to a monitor. I wanted to hook up this KVM switch in order to share the keyboard, mouse and one of the Monitors with my notebook. So I used the Desktop's VGA port. The switch works as it should. The notebook was able to share the VGA monitor.
I purchased this to be able to operate my two laptops with a single keyboard and mouse while sharing a second monitor.
Works as advertised. It was real easy to setup (basically plug and play) and was glad it came with pretty much all the cables needed to establish the connections. I would definitely recommend it to someone who is trying to connect two different CPUs to a single monitor, mouse, speaker and keyboard.
Answer: Yes, the KVM draws power from the USB ports, so a monitor connection is not needed.  Especially when you have multiple monitors for each computer, using a KVM to switch monitors is not practical.  Using one set of keyboard and mouse for multiple computers is.