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Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x₁ = 4 7t and X₂ Select the correct choice below, and fill in the answer box to complete your choice. OA. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det[x, (t) x₂ (t)] is not 0. In fact, det[x, (1) x2 (1)] = OB. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) where det[x, (1) x₂(t)] is not 0. In fact, det[x, (1) x₂ (1)]= OC. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det[x, (t) x₂ (1)] is 0. In fact, det [x, (1) x₂ (1)]= OD. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) where det[x₁ (t) x2(t)] is 0. In fact, det[x, (1) x₂ (t] =

Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x₁ = 4 7t and X₂ Select the correct choice below, and fill in the answer box to complete your choice. OA. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det[x, (t) x₂ (t)] is not 0. In fact, det[x, (1) x2 (1)] = OB. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) where det[x, (1) x₂(t)] is not 0. In fact, det[x, (1) x₂ (1)]= OC. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det[x, (t) x₂ (1)] is 0. In fact, det [x, (1) x₂ (1)]= OD. The vector functions are linearly independent since there exists at least one point t in (-∞0,00) where det[x₁ (t) x2(t)] is 0. In fact, det[x, (1) x₂ (t] =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 34EQ
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Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-∞0,00). Let x₁ = and X₂ Select the correct choice below, and fill in the answer box to complete your choice. OA. The vector functions are linearly dependent since there exists at least one point t in (-∞,∞) where det[x₁ (t) x₂(t)] is not 0. In fact, det[x₁ (1) *₂ (1)]= OB. 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 (1)] = OC. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det [x, (t) x₂ (1)] is 0. In fact, det[x₁ (t) x₂ (1)] = OD. The vector functions are linearly independent since there exists at least one point tin (-∞,∞) where det[x₁ (t) x₂(t)] is 0. In fact, det[x, (t) x₂(t)] =
Transcribed Image Text:Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-∞0,00). Let x₁ = and X₂ Select the correct choice below, and fill in the answer box to complete your choice. OA. The vector functions are linearly dependent since there exists at least one point t in (-∞,∞) where det[x₁ (t) x₂(t)] is not 0. In fact, det[x₁ (1) *₂ (1)]= OB. 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 (1)] = OC. The vector functions are linearly dependent since there exists at least one point t in (-∞0,00) where det [x, (t) x₂ (1)] is 0. In fact, det[x₁ (t) x₂ (1)] = OD. The vector functions are linearly independent since there exists at least one point tin (-∞,∞) where det[x₁ (t) x₂(t)] is 0. In fact, det[x, (t) x₂(t)] =
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