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% Data points for the final exam MAT 342, Fall 1996
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p=[1 -2; 1 0; 5 0; 2 4; 3 4; 0 7; -3 4; -2 4; -4 1; -4 0; -1 0; -1 -2; 1 -2]'
q=[24 5;20 5;20 9;12 6;12 7; 6 4; 12 1; 12 2; 18 0; 20 0; 20 3; 24  3;24  5]'
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%
ffill(p,'g')
hold on
ffill(q,[.5 .3 0])
grid
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%
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%
disp('strike any key to continue')
pause
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disp('Hint: Given a 2x2-matrix A and a 2x2 vector v, draw the')
disp('      image of the polygon p under the map x --> Ax+v ')
disp('      using the following commands -- just an example.')
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A=[2 0;0 .6]
v=[0;-10]
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disp('You need to make v into a matrix of the same size as p')
disp('strike any key to continue')
pause
disp('Overlay the new plot -- look at the graphics window!')
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%
disp(' ')
echo on
vv=diag(v')*ones(size(p))
ffill(A*p+vv,'b')
echo off
disp(' ')
disp(' ')
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disp('Trial and error solutions will not earn credit. You need')
disp('to demonstrate how to use linear algebra effectively to')
disp('find the matrix A and the vector v such that x --> Ax+v')
disp('maps the green tree into the given brown one.')