40 10 -5 Let A = 26 B = 7 and C = -3 -34 -7 Are A,B and C linearly dependent, or are they linearly independent? O Linearly independent O Linearly dependent If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds. A+ B+ C = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
40
10
-5
Let A =
26
В —
7
and C =
-3
-34
Are A,B and C linearly dependent, or are they linearly independent?
O Linearly independent
O Linearly dependent
If they are linearly dependent, determine a non-trivial linear relation. 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:40 10 -5 Let A = 26 В — 7 and C = -3 -34 Are A,B and C linearly dependent, or are they linearly independent? O Linearly independent O Linearly dependent If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. A+ B+ C = 0
Expert Solution
Step 1

We have A=4026-34, B=107-7, C=-5-35

Now, three vectors are said to be linearly dependent if their determinant if 0.

 

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