Draw the following picture or some similar design with no sy

Draw the following picture (or some similar design with no symmetry) in the square [0.10] Times [0.10] on the x-y plane. Use the transformation tools in Rhino to draw the result of applying the following matrices to the x-y plane in homogeneous coordinates. (1 0 0 0 1 0 2 -4 1) (1 0 0 0 1/2 0 0 0 1) (1/squareroot2 1/squareroot2 0 -1/squareroot2 1/squareroot2 0 0 0 1) 0 1 0 -1 0 0 1 2 1) (1 1 0 0 1 0 0 0 1) Find matrices that convert the image above into the following images. Show your reasoning. Beware of where the origin is!

Solution

e ) figure is converted by c one

f) is converted by a one

g) by d one

h) by e one