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## Homework Statement

## Homework Equations

L(x,y) = L(x+y,x-y)

L(x,y) = L(x) + L(y)

L(kx) = kL(x)

## The Attempt at a Solution

I'm very confused on this. I've look all over and haven't figured this out yet. I'm there's one simple piece of info I'm missing and then it'll all make sense, but for the life of me I can't figure it out. The most I've come up with is showing what three points become.

L(0,3) = (0,3)

L(4,0) = (4,8)

L(4,3) = (4,11)

I don't know what to do from here.

Edit:

I need vectors, so would I turn my three points into vectors?

I think I need L(x)=[L]x=vx

Where v is the vector.

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