Linear Algebra
paniyu
answer_template_for_lab61.docxENGR 231 – Linear Engineering Systems
Lab 6: Summer 2016
Your Name: _______________________ Indicate Section: 61 or 62.
As a convenience, this answer template is provided if you wish to easily submit your work. Be sure to save it as a PDF before submitting online! Only one submission is allowed.
Question 1. Translation in homogeneous coordinates.
Question 1: Paste your code for translate(dx,dy) here, then include the output for the line included near the bottom.
Show the result for the following command.
>> translate(1,2) * [2; 3; 1]
Questions 2-3: Paste in your plot with all three rectangles here for two points credit.
Question 4: Kandinsky Art: Create an abstract art painting, and paste it here.
Question 5: Rotations in homogeneous coordinates.
Question 5: Paste your code for rotate(angle_in_deg) here, then include the output for the line included near the bottom.
Show the result for the following command.
>> rotate(45) * [sqrt(2); 0; 1]
Questions 6-7: Mandala Figure:
Replace the given figure with your own Mandala. Must have at least five rings – not just four. Be creative! Consider changing the marker size.
Question 8: Scaling in homogeneous coordinates.
Question 8: Paste your code for scale(k) here, then include the output for the line included near the bottom.
Show the result for the following command.
>> scale(2) * [1; 2; 1] Answer: _ _ _
Questions 9-10: Combining scaling and translation to generate the Sierpinski Gasket.
Questions 9-10: Paste in your new switch block code here. All three cases should be rewritten using scale() and translate() and P.
switch c
case 0
P = scale(0.5)*P; % Given for free!
case 1
% Complete this case using translate and scale.
% Complete this case using translate and scale.
end
When your lab is complete, be sure to submit it as a PDF by the due date – this Thursday before 11:59PM. You have one more day, to submit the lab (but with a small penalty), and then the window closes for good and your grade will be zero. Only one submission is allowed per student.
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