213 - A5.5 - Graphical Transformations

46 days ago by Professor213

x = [1 3 4 0] y = [2 1 0 1] A = [1 0 ; 0 -1] out = A*[x; y] fill(x,y,'r',out(1,:),out(2,:),'b') axis('square','on') out(1,:) 
       
x =

 1 3 4 0


y =

 2 1 0 1


A =

 1 0
 0 -1


out =

 1 3 4 0
 -2 -1 0 -1


ans =

 1 3 4 0


                                                                        

             2 |-------------------------------------------------|      

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            -2 |-------------------------------------------------|      

               0    0.5     1    1.5    2    2.5     3    3.5    4      

                                                                        
x =

 1 3 4 0


y =

 2 1 0 1


A =

 1 0
 0 -1


out =

 1 3 4 0
 -2 -1 0 -1


ans =

 1 3 4 0


                                                                               
             2 |-------------------------------------------------|             
               |     +   ##XXXXXXX+ #####     +      +     +     |             
           1.5 |-+    ###XXXXXXXXXXXXXX  #####                 +-|             
               |   ###XXXXXXXXXXXXXXXXXXXXXX  #####              |             
               | ##XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  ##            |             
             1 |#####XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX####      +-|             
               |     ##########XXXXXXXXXXXXXXXXXXXXXXXXX ##      |             
           0.5 |-+             ##########XXXXXXXXXXXXXXXXX ### +-|             
               |                         ##########XXXXXXXXXX ## |             
               |                                   ##########XX #|             
             0 |-+                                 %%%%%%%%%%%%%%|             
               |                         %%%%%%%%%%    XXXXXXX%% |             
          -0.5 |-+             %%%%%%%%%%    XXXXXXXXXXXXXX%%% +-|             
               |     %%%%%%%%%%    XXXXXXXXXXXXXXXXXXXXXX%%      |             
               |%%%%%    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX%%        |             
            -1 |%%%XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX%%%%        +-|             
               |  X%%%XXXXXXXXXXXXXXXXXXXXXXXX%%%%%              |             
          -1.5 |-+  XX%%%XXXXXXXXXXXXXXXX%%%%%                 +-|             
               |       XX%%XXXXXXXXX%%%%%                        |             
               |     +   XX%XXX%%%%%    +     +      +     +     |             
            -2 |-------------------------------------------------|             
               0    0.5     1    1.5    2    2.5     3    3.5    4