One app that comes with your machine is Movie Studio (please excuse my busy background). If you're looking for the Xperia equivalent of Premiere, this ain't it.
That said, if you need a quick way to bring together a few clips, pictures, and music, Movie Studio can do the job.
The app allows adding any of the items mentioned above, as well as taking pictures and video from the tablet's camera from within the app. You can zoom in and out of the project using the circular bit on the left, and when done, tap the three squares in the top right to get the export option.
When you tap an individual clip, the title and effects tools appear in the upper right. The titles cut in and out without a fade, but you do get a title. The effect options are limited, but serviceable, and this is where you find the transitions. This took some time to render on my tablet, and it seemed to have some problems exporting the movie when I'd added them. Hopefully that's me and not the device.
Use Movie Studio to get quick footage of students doing a report, or showing their work with a science experiment, or reciting their poetry. Coaches can get quick shots of what players will need to improve upon. And nothing quite helps a parent-teacher conference like footage of a student being impressive. The parent of the toughest kiddo needs that kind of positive message - it may be the best thing they see and hear all week.
The Sony Education Ambassadors volunteer their time and knowledge to Sony in the pursuit of helping educators adapt to new technology in the classroom. Each SEA member was provided a Sony Xperia™ Tablet to evaluate, to help them better understand the device’s features.