Let T:R3->R3 be the linear transformation such that
T(x1,x2,x3) = (x1+2x2+2x3,x1+2x2+x3,x1-2x2+2x3)
a) is T 1-1? Briefly explain
b) is T onto? Briefly explain
I know T is 1-1 if the only solution to T(x)=0 is x=0 and for onto I'm not really sure. Can someone please help me understand 1-1 and onto and how to solve this problem. Thanks!

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