Just minutes after Apple’s event wrapped up in San Jose, Calif., the company has posted the complete on-demand video to its website. It can be accessed here.

The event was also streamed live on the company’s website and through Apple TV. I watched live on both my MacBook Pro and iPad and was pretty happy with the video. While there were a few dropouts, I was able to refresh, and the updated video loaded quickly.

You can also view a video from Apple that looks more closely at the new iPad mini.

If you want to view either video, you must be using Safari 4 or later on Mac OS X v10.6 or later; Safari on iOS 4.2 or later; or QuickTime 7 on Windows.

If you missed the event, check out our complete iPad mini coverage roundup.