Solution
Since F is a linear transformation, then F(x,y)=αx+βy. Substitute F(1,1)=2, F(1,0)=3 into the equation:
α*1+β*1=2
α*1+β*0=3
We have
α+β=2
α=3.
Hence, β=-1.
Let us find F(2,3)=3*2+(-1)*3=6-3=3.
Answer: a. 3.
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