3. Let T be the transformation that slides a point in R- to the r-axis along a path parallel to the line y = I. (That is, the point moves northeast or southwest till it hits the r-axis.) (a) (2 points) Find the matrix B for T over the basis 8 = {8.[;]} (b) (2 points) Find the matrix A for T over the standard basis.(c) (2 points) Find a matrix S such that A = SBS- and S can be viewed as trans- forming between the standard basis and basis B. (d) (1 point) Sketch the image under S of the integer grid, consisting of lines . . . , y = -2, y = -1, y = 0,y = 1, ... and .. .,. = -2, 1 = -1,r = 0, r = 1, . ... (e) (2 points) Explain why 3 is a good basis in which to study T and what your previous sketch has to do with T