Use the following vectors to answer parts (a) and (b). 1 - 3 5 V1= V2 12 V3 = 8 -6 h (a) For what values of h is v3 in Span{v1, V2}? (b) For what values of h is {v1, V2, V3} linearly dependent? (a) For what values of h is v3 in Span{v1, V2}? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. h= (Use a comma to separate answers as needed.) B. All values of h OC. No values of h (b) For what values of h is {v, v2, vV3} linearly dependent? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. h= (Use a comma to separate answers as needed.) O B. All values of h O C. No values of h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Use the following vectors to answer parts (a) and (b).
1
- 3
5
V1 =
- 4
V2 =
12
V3=
8
2
- 6
h
(a) For what values of h is v3 in Span{v1, v2}?
(b) For what values of h is {v1, v2, V3} linearly dependent?
(a) For what values of h is v3 in Span{v1, v2}? Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
O A. h=
(Use a comma to separate answers as needed.)
B. All values of h
OC. No values of h
(b) For what values of h is {v1, V2, V3} linearly dependent? Select the correct choice below and, if necessary, fill in the answer
box to complete your choice.
O A. h=
(Use a comma to separate answers as needed.)
O B. All values of h
O C. No values of h
Transcribed Image Text:Use the following vectors to answer parts (a) and (b). 1 - 3 5 V1 = - 4 V2 = 12 V3= 8 2 - 6 h (a) For what values of h is v3 in Span{v1, v2}? (b) For what values of h is {v1, v2, V3} linearly dependent? (a) For what values of h is v3 in Span{v1, v2}? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. h= (Use a comma to separate answers as needed.) B. All values of h OC. No values of h (b) For what values of h is {v1, V2, V3} linearly dependent? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. h= (Use a comma to separate answers as needed.) O B. All values of h O C. No values of h
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