1) Show that the function T((a,b)) = (2a-b,6a+b) is a linear transformation from R to R. 2) Show that the function T:R R given by T((a,b,c)) = (1+b, a-b, a+b+2c) is not a linear transformation by providing an example of where one of the rules break down. 3) Write the matrix representation for the linear transformation T((a,b)) = (2a-b,a+b,3a-5b). (Yes, you get to assume it is a linear transformation.)