Question 11

 

Given that M : (x, y) → (7y, 3x – y) and N : (x, y) → (2x – y, 5x + 3y),

1. write down the matrices M and N of the linear transformations;
2. find the image of P(2, -3) under the linear transformation N followed by M;
3. find the coordinates of the point Q whose image is Q^/(2, 4) under the linear transformation N.