(a) If the coordinate matrix of View 9 is multiplied by the matrix the result is the

Chapter 10, Problem 2

(choose chapter or problem)

(a) If the coordinate matrix of View 9 is multiplied by the matrix the result is the coordinate matrix of View 10. Such a transformation is called a shear in the x-direction with factor with respect to the y-coordinate. Show that under such a transformation, a point with coordinates has new coordinates . (b) What are the coordinates of the four vertices of the shear square in View 10? (c) The matrix determines a shear in the y-direction with factor .6 with respect to the x-coordinate (an example appears in View 11). Sketch a view of the square in View 9 after such a shearing transformation, and find the new coordinates of its four vertices. Ex-View 10 View 9 sheared along the x-axis by with respect to the y-coordinate (Exercise 2) Ex-View 11 View 1 sheared along the y-axis by .6 with respect to the x-coordinate (Exercise 2).