Page 454 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Repeat Exercise 1 for the weighted Euclidean inner product .
2.

Compute using the inner product in Example 7.
3.

(a)

(b)

Compute using the inner product in Example 8.
4.

(a)

(b)

5. is the inner product on generated by
(a) Use Formula 3 to show that

(b) Use the inner product in part (a) to compute if and .
is the inner product on generated by
6.
(a) Use Formula 3 to show that

(b) Use the inner product in part (a) to compute if and .

Let and . In each part, the given expression is an inner product on . Find a matrix that generates it.
7.

(a)

(b)