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YAM(ath)T: Finding a linear transformation..

S

Syringer

Lifer
"Prove that there exists a linear transformation T:R^2-->R^3 such that T(1,1) = (1,0,2) and T(2,3) = (1, -1, 4). What is T(8,11)?"

I can't find any linear transformation that will provide that output. The only sort of transformation that could work is T(x,y) = (1, 1-x, 1+y)..but that's not linear =/
 
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