- #1

aznkid310

- 109

- 1

## Homework Statement

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)?

## Homework Equations

I don't 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?

## 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?