Page 810 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b) , , in

(c) and in complex

Which of the following sets of vectors in are linearly independent?
21.

(a) , ,

(b) , ,

(c) , ,

Given the vectors and , for what real values of a, b, and c are the vectors v and w linearly
22. dependent?

Let V be the vector space of all complex-valued functions of the real variable x. Show that the following vectors are
23. linearly dependent.

Explain why the following sets of vectors are not bases for the indicated vector spaces. (Solve this problem by
24. inspection.)

(a) , , for
(b) , for

Which of the following sets of vectors are bases for
25.

(a) ,

(b) ,

(c) (0, 0),