More of a housekeeping task this one.
One of our content editors has created a load of image components and after using them in various content components we've realised that he saved them as the Default Multimedia Schema. Not the end of the world, but we prefer to have our image components created using a specific multimedia schema that we created for the purpose. Some of our Schemas allow the Default Multimedia Schema for component items, some don't, and until today the image components in question had only been used in those that do allow it.
It means we either have to recreate all the image components and amend everywhere that they're used or... is it possible to change a component's schema after it has been saved? I'm sure there are probably good reasons for not doing this as it would potentially invalidate Component Presentations, but if I know that what I'm changing them to is ok, is there a way to do it?