Page 818 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(a) ,
(b) ,
(c) ,
(d) ,

Let and . Show that
3.

defines an inner product on .

Compute using the inner product in Exercise 3.
4.

(a) ,

(b) ,

(c) ,

(d) ,

Let and . Determine which of the following are inner products on . For those that are not, list
5. the axioms that do not hold.

(a)
(b)
(c)
(d)
(e)