What is the meaning of R^n in Linear Algebra?

[Llama77]

I am now in a Linear algebra class and don't understand the whole idea of transformations and$$R^{2}$$ $$R^{3}$$. I really can't elaborate more as I don't have a clue.R meaning Reals

 

[cristo]

Well, $\mathbb{R}^2=\mathbb{R}\times\mathbb{R}$ where the times here is the Cartesian product. So, $\mathbb{R}^n$ is the set of all n-tuples; i.e. (x_1,x_2,...,x_n) such that x_i is a real number.