S={(1,-1,-4), (3,2,3)}

T= {(x,y,3y-x) : x,y e R}

(a) Show that SCT, and write down a a vector in IR^{3 }that does not belong to T

(b) Show that T is a subspace of IR^{3}.

(c) Show that S is a basis for T. Write down the dimension of T, and describe T geometrically.

HELP..... my head is completely messed with this one!!!