They did not win a "minority government". BC electoral law doesn't work that way. More info: https://stephentweedale.wordpress.com/2017/05/10/no-the-liberals-didnt-win-a-minority-government/

This is a "hung parliament", which is a very different beast. Clark is the premier until the legislative assembly determines if she can form a government, and if not the NDP will be asked if they can.

This is far from a done deal.