Hey guys, I'm new to physics forums I decided to join after seeing how you guys help each other. Well here's my problem I'm sure you guys can answer this. Last semester I had Linear Algebra and I slacked (almost failed) off a bit since it was a 8am lecture and it took place in a movie theatre...yes my universty rents out theatres for bigger classes. So even if I went there I'd be falling asleep. I tried studying by myself I understood matrices but as they got into more complex theories I couldn't understand the terms they used. Even though I noticed in my linear algebra labs that the complicated terms they used to describe things and problems were easily solved. I took it upon my self to learn it by myself once again. I just need help with definitions. Can you guys explain me what each term means exactly, I checked wikipedia I understood some but maybe you guys can explain it easier using simpler words. Here they are: 1)Ordered n - tuple - I think its like a coordinate such as (1,2 3) correct me if I'm wrong. 2)Linear Transformation: R^n -> R^m; One to One Linear Transformation- (can you explain me this too or give me a link to a thread that does; our exam had questions regarding this but phrased in a really weird and complicated way). 3)Eigenvalues/Eigevectors 4)Vector space - Area where vectors are? ->row space ->column space ->null space ->Subspace ->Spanning or Span? ->Linearly Dependent/Independent ->Rank ->Nullity ->Basis and Dimension That's all I can think of and get from the book so far, I would just like an explanation of what that is and maybe how to calculate or determine them. If you can use simple terms to explain I'll very much appreciate it and posting a website or link to another thread is very much appreciated as well. Thanks guys.