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1. The problem statement, all variables and given/known data

Determine if this is a linear transformation:

L(x,y) = (x+1, y, x+y)

2. Relevant equations

This is just one, but I have no clue as to how to even begin. I've been to lecture and read the book over and over again, but i was not given any relevant examples. Could someone please walk me through this? I know that to show it is a linear transformation, i must show that L(u+v) = L(u) + L(v), but i cant seem to find L(u+v)

3. The attempt at a solution

u =

[x

y]

v =

[x'

y']

L(u) + L(v) =

x + x' + 2

y + y'

x + y + x' +y'

I'm not even sure that is correct, but if it is, how does one find L(u+v)? Additionally, the fact that it is a transformation from R^2 => R^3 is throwing me off

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# Homework Help: Linear Transformation

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