Page 374 - 35Linear Algebra

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.

374