Linear Transformations, Animations, GIF files MATH 210-01, Fall 2021 Ryan Pellico, Department of Mathematics, Trinity College In class we saw how special matrices may be used as linear transformations...

All the instructions are in the pdf attached. Short easy three questions and more than enough time til the deadline. (MATLAB submit .m files)


Linear Transformations, Animations, GIF files MATH 210-01, Fall 2021 Ryan Pellico, Department of Mathematics, Trinity College In class we saw how special matrices may be used as linear transformations of the xy plane to achieve certain simple animations. Together with the gif_template.m file, we can turn these anima- tions into .gif files. • Scaling by a factor ↵:  ↵ 0 0 ↵ �  x y � • Shear by � in x:  1 � 0 1 �  x y � • Reflect about the y axis:  �1 0 0 1 �  x y � • Reflect about the x axis:  1 0 0 �1 �  x y � • CCW rotation by and angle ✓:  cos(✓) � sin(✓) sin(✓) cos(✓) �  x y � https://en.wikipedia.org/wiki/Transformation_matrix 1. (10 points) Make a personalized shape/design using the techniques used to make the “ugly smiley face". Bonus point will be awarded to the five most to my liking. 2. (10 points) Make a .gif file with 50 frames called changing_scale.gif where your shape oscil- lates between 0.5 and 1.5 times its original scale. Remember that gif_template.m creates a gif that will loop, so you only need to go from 0.5 scale to 1.5 and back to 0.5 one time. 3. (10 points) Make a .gif file with 50 frames called CW_rotate.gif where your shape rotates clockwise one time. Teeebaeeesoeseeeseesesesreoseeeestseeeeesseesasesessee