(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let R2 => R2 be a linear transformation for which we know that:

L(1,1) = (1,-2)

L(-1,1) = (2,3)

What is: L(-1,5) and L(a1,a2)?

2. Relevant equations

I dont know where to start. I tried writing (-1,5) as a linear combo of (1,1) and

(-1,1), but that got me nowhere. Am i suppose to find a basis? How do i do that?

3. The attempt at a solution

(-1,5) = a(1,1) + b(-1,1)

Transforming it into a 2 x 3 matrix and row reducing it, i get a = 2, b = 3.

If i am on the right track, what do i do next?

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# Homework Help: Linear Transformation part 2

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