Decide whether the vectors [2,9,-1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0] are linearly independent. If they are not find a basis for their span. Explain your work.
Decide whether the vectors [2,9,-1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0] are linearly independent. If they are not find a basis for their span. Explain your work.
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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Hello, please answer this question very clearly, thanks
![Decide whether the vectors
[2, 9, -1, 4, 7, 8, 10, 9], [11, 2, 5, 9, 0, 0, −1, 3], [4, 18, —2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0]
are linearly independent. If they are not find a basis for their span. Explain your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc86067e6-8973-4ca0-b339-130b3574db7e%2F7b22cd4a-0511-4143-9d24-174f5c915cd0%2Fc3l4cg9_processed.png&w=3840&q=75)
Transcribed Image Text:Decide whether the vectors
[2, 9, -1, 4, 7, 8, 10, 9], [11, 2, 5, 9, 0, 0, −1, 3], [4, 18, —2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0]
are linearly independent. If they are not find a basis for their span. Explain your work.
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