More on linear transformations

[johnnyboy2005]

i think I'm just having a hard understanding linear transformations...

i was asked if (5, 0) is a vector in R(T) given by the formula
T(x,y)=(2x-y,-8x + 4y)...i really don't get what I'm supposed to do here.. any hints would be most appreciated.

 

[Galileo]

It asks if the vector (5,0) is in the range of the function T.
So does there exist some vector (x,y), such that T(x,y)=(5,0)?

How would you go about this problem?

 

[johnnyboy2005]

so much easier now. thank you Galileo