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.
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
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1809c75a-cb0c-4718-b30f-5cb9c0c0129d%2F348daea1-da7d-462c-bd89-2b6746a64f22%2Fnopef9d_processed.png&w=3840&q=75)
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
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We have
Now, three vectors are said to be linearly dependent if their determinant if 0.
Step by step
Solved in 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)