Let A = 3 ,B= 0 -6 3 -2 Are A,B and C linearly dependent, or are they linearly indepen- dent? · , and C= • Linearly independent Linearly dependent If they are linearly dependent, determine a non-trivial linear rela- tion. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. _C=0. A+ B+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Let A =
3 , B =
-2
Are A,B and C linearly dependent, or are they linearly indepen-
dent?
0
3
, and C=
Linearly
independent
• Linearly dependent
If they are linearly dependent, determine a non-trivial linear rela-
tion. Otherwise, if the vectors are linearly independent, enter 0's
for the coefficients, since that relationship always holds.
__A+____B+ _ _C=0.
Transcribed Image Text:Let A = 3 , B = -2 Are A,B and C linearly dependent, or are they linearly indepen- dent? 0 3 , and C= Linearly independent • Linearly dependent If they are linearly dependent, determine a non-trivial linear rela- tion. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. __A+____B+ _ _C=0.
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