Let _ be the line spanned by a R2, and let R_ : R2 R2 be the linear map defined by reflection across _. Using the formula R_(x) = x_ x given in Example 3, verify that a. _R_(x)_ = _x_ for all x R2. b. R_(x) a = x a for all x R2; i.e., the angle between x and _ is the same as the angle between R_(x) and _.

Generalized Principle of Counting If ‘r’ experiments are to be performed, where ‘n’ represents the number of outcomes for an experiment, then the total number of outcomes is expressed by the following: ◦ n 1* n 2* … * n r Example(s) ◦ Suppose a car comes with 5 different colors, 3 different models, dealer protection potential, and leather...