Page 381 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Figure Ex-19 are linearly
Use appropriate identities, where required, to determine which of the following sets of vectors in
20. dependent.

(a)

(b)
(c)
(d)

(e)

(f)

21. (For Readers Who Have Studied Calculus) Use the Wronskian to show that the following sets of vectors are linearly
independent.
(a)

(b)

(c)

(d)

Use part (a) of Theorem 5.3.1 to prove part (b).
22.

Prove part (b) of Theorem 5.3.2.
23.

Indicate whether each statement is always true or sometimes false. Justify your answer by giving a
24. logical argument or a counterexample.