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

F:R^2 to R^2 defined by

F(x)=

x1+x2

1

Where x=

x1

x2

2. Relevant equations

Must satisfy these conditions:

T(u+v)=T(u)+T(v)

T(au)=aT(u)

3. The attempt at a solution

I said

u=

u1

u2

v=

v1

v2

u+v=

u1+u2

v1+v2

then F(u+v)=

(u1+v1) + (u2+v2)

...

This is where I got confused.

Because there is only a constant in the bottom row, which is a 1,

does this mean it is not a transformation? I don't know how to solve these when there is only a constant.

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# Homework Help: Linear transformation

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