- #1
mahrap
- 37
- 0
$$y_{1}=2x_{2}$$
$$y_{2}=x_{2}+2$$
$$y_{3}=2x_{2}$$
I know that in order for a transformation to be linear it has to satisfy:
I) $$T(v + w) = T(v) + T(w)$$
II) $$T(kv) = kT(v)$$
But what are v and w in this case?
note: v and w are vectors and are suppose to have arrows on top of them but I was too lazy to figure out how to type this out :P
$$y_{2}=x_{2}+2$$
$$y_{3}=2x_{2}$$
I know that in order for a transformation to be linear it has to satisfy:
I) $$T(v + w) = T(v) + T(w)$$
II) $$T(kv) = kT(v)$$
But what are v and w in this case?
note: v and w are vectors and are suppose to have arrows on top of them but I was too lazy to figure out how to type this out :P