Hi guys, During the upcoming summer break I want to patch up my linear algebra skills while researching with my professor. I've already taken a course on linear algebra, but frankly it was rather elementary. This semester after taken courses on differential geometry and further analysis i've realised i'm lacking alot of the linear algebra required... So to patch in this gap (more like abyss) i've decided to study a proper course on linear algebra. So my question is what should i cover in my syllabus and what text book should i use? Previously, i've studied the whole Anton book and i've heard good things about the Friedberg book.