Let T: R^2->R^2. Include figures for each of the following parts.

a) Find a formula T(a,b) where T represents the projectionon the y-axis along x-axis

My Solution, (CAN SOMEONE SEE IF THIS IS RIGHT):

R(T) = Y-AXIS

N(T) = X-AXIS

T(x,y) = (0,y)

b) find a formula T(a,b) where T represents the projectin on the y-axis along the line L = {(s,s): s is in R}.

solution

T(s,y) = ( s, s)

R(T) = R^2

N(T) = {0}

is this right?