Find T([3,1]) for Linear Transformation R2 to R3

[radiator]

if you have R2 ----> R3
and T([1,1]) = (-1,0,-3) and T([1,-1])=(5,2,-5) How can you find T([3,1]) ??

 

[Sourabh N]

T[3,1] = 2*T[1,1] + t[1,-1]

 

[radiator]

Thank you