Page 458 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Verify the result in Exercise 24 for the Euclidean inner product on and
25.

Let and . Show that
26. are positive real numbers.

is an inner product on if , , …,

27. (For Readers Who Have Studied Calculus)
Use the inner product

to compute , for the vectors and in .

(a)
(b)

28. (For Readers Who Have Studied Calculus)
In each part, use the inner product

to compute , for the vectors and in .

(a)
(b)
(c)

Show that the inner product in Example 7 can be written as .
29.

Prove that Formula 3 defines an inner product on .
30.

Hint Use the alternative version of Formula 3 given by 4.