# Whjat does R^n mean

1. Nov 4, 2007

### 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 cant elaborate more as I don't have a clue.

R meaning Reals

2. Nov 4, 2007

### cristo

Staff Emeritus
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.