Find the value(s) of h for which the vectors are linearly dependent. 2 3 4 - 7 h 4

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section: Chapter Questions
Problem 14RQ
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Find the value(s) of h for which the vectors are linearly dependent.
- 2
3
- 7
h
- 2
4
-6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The vectors are linearly dependent if h =
because the related matrix will have a free variable. (Type an integer or a simplified fraction.)
O B. The vectors are linearly dependent for all values of h because the related matrix always has a free variable.
OC. The vectors are linearly independent for all values of h because the related matrix never has a free variable.
Transcribed Image Text:Find the value(s) of h for which the vectors are linearly dependent. - 2 3 - 7 h - 2 4 -6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The vectors are linearly dependent if h = because the related matrix will have a free variable. (Type an integer or a simplified fraction.) O B. The vectors are linearly dependent for all values of h because the related matrix always has a free variable. OC. The vectors are linearly independent for all values of h because the related matrix never has a free variable.
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