Page 374 - 35Linear Algebra
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374                                                                                Movie Scripts


                            We will call two people equivalent if they have the same hair color. There are
                            three properties to check:

                               • Reflexive: This just requires that you have the same hair color as
                                  yourself so obviously holds.










                               • Symmetric: If the first person, Bob (say) has the same hair color as a
                                  second person Betty(say), then Bob has the same hair color as Betty, so
                                  this holds too.










                               • Transitive: If Bob has the same hair color as Betty (say) and Betty has
                                  the same color as Brenda (say), then it follows that Bob and Brenda have
                                  the same hair color, so the transitive property holds too and we are
                                  done.































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