(a) Show that the definition of dilation given in Problem 9.11 is equivalent to yet anothe...

(a) Show that the definition of dilation given in Problem 9.11 is equivalent to yet another definition of dilation:

(This expression also is called the Minkowsky addition of two sets.)

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(b) Show that the expression in (a) also is equivalent to the definition in Eq. (9.2-3).

(9.2-3)

An alternative definition of dilation is

Show that this definition and the definition in Eq. (9.2-3) are equivalent.

(9.2-3)