Please answer question a) and d)

Let D* = [0, 1] times [0, 1]. The transformation T is defined as T (X*, Y*) = (X* - Y*/Squareroot 2, X* + Y*/Squareroot 2), where (x*, y*) elementof D*. The image D is defined as D = T (D*). (a) Find a transformation matrix A for T. A = Answer the following questions about T, and the image D. (Select all that apply.) (b) Determine the image set D = T (D*). square circle parabola hyperbola none of these (c) Determine how the transformation T rotates D* in the image D. 90 degree clockwise 90 degree counterclockwise 180 degree clockwise 180 degree counterclockwise 45 degree clockwise 45 degree counterclockwise does not rotate D* (d) Give the vertices of the image set D. (Enter your answers as a comma-separated list for ordered pairs as: (x_1, y_1), (x_2, y_2), etc.) Let D* = [0, 1] times [0, 1]. The transformation T is defined as T (X*, Y*) = (X* - Y*/Squareroot 2, X* + Y*/Squareroot 2), where (x*, y*) elementof D*. The image D is defined as D = T (D*). (a) Find a transformation matrix A for T. A = Answer the following questions about T, and the image D. (Select all that apply.) (b) Determine the image set D = T (D*). square circle parabola hyperbola none of these (c) Determine how the transformation T rotates D* in the image D. 90 degree clockwise 90 degree counterclockwise 180 degree clockwise 180 degree counterclockwise 45 degree clockwise 45 degree counterclockwise does not rotate D* (d) Give the vertices of the image set D. (Enter your answers as a comma-separated list for ordered pairs as: (x_1, y_1), (x_2, y_2), etc.)