Linear transformation T: R3 -> R2

[GrafZeppelim]

TL;DR

Linear transformation T: R3 --> R2

Homework Statement

Find the linear transformation [/B]
T: R3 --> R2 such that:

𝑇(1,0,−1) = (2,3)
𝑇(2,1,3) = (−1,0)

Find:

𝑇(8,3,7)
Does any help please?

 

[member 587159]

Express (8,3,7) as a linear combination of the two other vectors in the problem statement and apply linearity of the transformation.