Reference no: EM132585197
Question - Consider the transformation given by Y = TX, where
Use the left-hand axes to plot vectors x = (x1, x2). Use the right-hand axes to plot vectors y = (y1, y2).
(a) Plot and label the pentagram described by the points
E : x = (1, -1), F: x = (2, 1), G : x = (0, 3), H : x = (-2, 1) and J : x = (-1, -1).
(b) Plot the image of the pentagram under the transformation T. Label the points corresponding to E, F, G, H, J as F', G', H', J'.
(c) Plot the point P' : y = (3, A/2) in the Y-space, where A is taken from your student number.
(d) Find and plot the corresponding point P in the X-space.
(e) Calculate the area of the triangle EGH in the X-space.
(f) Calculate the area of the triangle in the Y-space.
(g) Verify that the ratio of these areas is given by the determinant.
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