Linear Transformation (Rank and Nullity)

Hello,

I need some help in this problem....

A = [1 -2 -1, 1 -3 0, 3 -8 -1] and let linear transformation T: R^3--> R^3 be defined by T(x) = Ax, where x = [ x1 x2 x3].

a) Determine rank(T) and nullity (T)

b) Determine bases for the range R(T) and the null space N(T).

(If N(T) = {[0 0 0]} state that N(T) has no basis)...

I know we have to use the Gauss Jordan to figure that matrix out but I am unable to reduce it properly, perhaps there is another way of doing it??

please help!

thanks!