Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). 8 2t Let x₁ = 8 2t 2 3 2 -[3] and x₂ = ... Select the correct choice below, and fill in the answer box to complete your choice. This question: 6 point(s) possible OA. The vector functions are linearly independent since there exists at least one point t in (-∞0,00)here det[x, (t) x₂(t)] is not 0. In fact, det[x, (t) x₂ (t)] = OB. The vector functions are linearly dependent since there exists at least one point t in (-∞o,co) where det[x, (t) x2 (t)] is 0. In fact, det [x, (t) ×₂ (t)] = OC. The vector functions are linearly dependent since there exists at least one point t in (-∞,co) where det[x, (t) x₂(t)] is not 0. In fact, det [x₁ (t) x₂ (t)] = OD. The vector functions are linearly independent since there exists at least one point t in (-∞,co) where det[x, (t) x2 (t)] is 0. In fact, det[x₁ (t) x₂ (t)] =
Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). 8 2t Let x₁ = 8 2t 2 3 2 -[3] and x₂ = ... Select the correct choice below, and fill in the answer box to complete your choice. This question: 6 point(s) possible OA. The vector functions are linearly independent since there exists at least one point t in (-∞0,00)here det[x, (t) x₂(t)] is not 0. In fact, det[x, (t) x₂ (t)] = OB. The vector functions are linearly dependent since there exists at least one point t in (-∞o,co) where det[x, (t) x2 (t)] is 0. In fact, det [x, (t) ×₂ (t)] = OC. The vector functions are linearly dependent since there exists at least one point t in (-∞,co) where det[x, (t) x₂(t)] is not 0. In fact, det [x₁ (t) x₂ (t)] = OD. The vector functions are linearly independent since there exists at least one point t in (-∞,co) where det[x, (t) x2 (t)] is 0. In fact, det[x₁ (t) x₂ (t)] =
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
![Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-∞0,00).
8
2t
Let x₁ =
8
2t
2
3
2
-[3]
and x₂ =
(...)
Select the correct choice below, and fill in the answer box to complete your choice.
This question: 6 point(s) possible
A. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) Where det[x, (t) x₂(t)] is not 0. In fact, det[x, (t) x2(t)] =
OB. The vector functions are linearly dependent since there exists at least one point t in (-∞o,co) where det[x, (t) x2 (t)] is 0. In fact, det [x, (t) ×₂ (t)] =
OC. The vector functions are linearly dependent since there exists at least one point t in (-∞,00) where det[x, (t) x₂ (t)] is not 0. In fact, det [x₁ (t) x₂ (t)] =
OD. The vector functions are linearly independent since there exists at least one point t in (-∞,co) where det[x, (t) x2 (t)] is 0. In fact, det[x, (t) x₂ (t)]=
Time](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe950f04c-ec95-4708-a23e-cd91dda53609%2Fa3637550-fceb-4c3f-8f77-88572a8892a5%2Fhp2wbgc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-∞0,00).
8
2t
Let x₁ =
8
2t
2
3
2
-[3]
and x₂ =
(...)
Select the correct choice below, and fill in the answer box to complete your choice.
This question: 6 point(s) possible
A. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) Where det[x, (t) x₂(t)] is not 0. In fact, det[x, (t) x2(t)] =
OB. The vector functions are linearly dependent since there exists at least one point t in (-∞o,co) where det[x, (t) x2 (t)] is 0. In fact, det [x, (t) ×₂ (t)] =
OC. The vector functions are linearly dependent since there exists at least one point t in (-∞,00) where det[x, (t) x₂ (t)] is not 0. In fact, det [x₁ (t) x₂ (t)] =
OD. The vector functions are linearly independent since there exists at least one point t in (-∞,co) where det[x, (t) x2 (t)] is 0. In fact, det[x, (t) x₂ (t)]=
Time
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