Page 590 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b)

, where

10.
(a)

(b)

Show that the function T in Example 9 is a linear operator.
11.

Consider the basis for , where and , and let be the linear operator
12. such that be the linear
, and let
Find a formula for , and use that formula to find .

Consider the basis for , where and , and let
13. transformation such that

Find a formula for , and use that formula to find .
,
Consider the basis for , where , and

14. be the linear operator such that

Find a formula for , and use that formula to find .
, and
Consider the basis for , where , , and let

15. be the linear transformation such that

Find a formula for , and use that formula to find .
be a linear transformation for which
Let , , and be vectors in a vector space V, and let
16.

Find .

Find the domain and codomain of , and find
17.

(a) ,

(b) ,