I need to find the image of a line under a specific operator, but there are 4 variables, two of which are direct results of a transformation.
Suppose that T maps (x,y) into (s,t) is the linear operator on R2 defined by the equations:
Find the image of the line x+y=1 under this operator.
Well, I know that the standard matrix is
but how do I find the image of x+y=1?