Page 819 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Use the inner product of Example 2 to find if
6.

Let and . Does define an inner product on ? If not,
7. list all axioms that fail to hold.

Let V be the vector space of complex-valued functions of the real variable x, and let and
8. be vectors in V. Does

define an inner product on V? If not, list all axioms that fail to hold.

Let have the inner product of Exercise 1. Find if
9.

(a)

(b)

(c)

(d)

For each vector in Exercise 9, use the Euclidean inner product to find
10.

Use the inner product of Exercise 3 to find if
11.

(a)

(b)

(c)

(d)

Use the inner product of Example 2 to find
12.

(a)