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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.