For each of the following sequences of linear transformations, give the 2 × 2 matrix which represents it: a. A reflection in the y-axis followed by a rotation by 60° clockwise, followed by a shear of factor 2 along the x-axis. b. A projection onto the line x = -y. Calculate the matrix twice in this case, once by creating a matrix similar to a standard projection matrix, e. g.), and then again using the formula for creating orthogonal projection matrices for projection onto a subspace. Check that you obtain the same result by both methods. c. A rotation by 180°, followed by a reflection in a line at 30° to the x-axis followed by a stretch by a factor of 4 along the line √3x = y. Take the last two digits of your code number and create a column vector representing a 2D point (so if your code number is 123456, you would create (5). Where does this point go to under the above sequences of transformations?