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**arbolis** Show wether the vectors are linear independent and if they generate $\displaystyle \mathbb{R}^3$.

a)$\displaystyle (2,-2,0),(1,-2,1),(-1,4,-3)$

My attempt : I don't understand __anything__ about my teacher's notes. So I've read on wikipedia that in order to determine if some vectors are l.i. I could calculate the determinant of a matrix formed by them. That's what I did here and I found it to be different from $\displaystyle 0$, so the 3 vectors are l.i.

Now how can I show that they generate $\displaystyle \mathbb{R}^3$ or not? I guess I must find a basis (but I don't know how to procede and what it is) and check if it generates $\displaystyle \mathbb{R}^3$.

Thanks in advance.