- 2 For what values of h are the vectors 6 LO CO 8 and 24 linearly independent? h A. The vectors are linearly independent for h= 32. OB. The vectors are linearly dependent for all h. O C. The vectors are linearly independent for h# 32. OD. The vectors are linearly independent for all h.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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i accidently chose A but i am not sure if it is the right answer or not

A is a 3x3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax=b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution?
O No
Ⓒ Yes
(b) Does the equation Ax = b have at least one solution for every possible b?
No
Yes
Transcribed Image Text:A is a 3x3 matrix with three pivot positions. (a) Does the equation Ax = 0 have a nontrivial solution? (b) Does the equation Ax=b have at least one solution for every possible b? (a) Does the equation Ax = 0 have a nontrivial solution? O No Ⓒ Yes (b) Does the equation Ax = b have at least one solution for every possible b? No Yes
For what values of h are the vectors
2
6 and
8
8
-24 linearly independent?
#
1139
B
A. The vectors are linearly independent for h = 32.
OB. The vectors are linearly dependent for all h
O C. The vectors are linearly independent for h# 32.
D. The vectors are linearly independent for all h.
h
Transcribed Image Text:For what values of h are the vectors 2 6 and 8 8 -24 linearly independent? # 1139 B A. The vectors are linearly independent for h = 32. OB. The vectors are linearly dependent for all h O C. The vectors are linearly independent for h# 32. D. The vectors are linearly independent for all h. h
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