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2x2 Matrices





                 What types of transformations can be

                      represented with a 2x2 matrix?












                                        2D Identity?



                                              x =      x                                 x'     =    1         0        x 
                                                 '

                                              y =       y                              y'            0                 1      y 
                                                 '
                                                                                       
                                                                                              
                                                                                                       


                                        2D Scale around (0,0)?


                                              x'=       s *       x                      x'          s   x         0    x      
                                                                                                                             
                                                           x

                                              y'=      s *        y                      y'     =       0         s  y     y  
                                                                                                                             
                                                                                       
                                                                                              
                                                                                                                                   
                                                                                                       
                                                                                                                          
                                                          y
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