- #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?