In Problems 1518, apply Theorem 4 (that is, calculate a determinant) to determine whether the given vectors

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In Problems 15–18, apply Theorem 4 (that is, calculate a determinant) to determine whether the given vectors u, v, and w are linearly dependent or independent.

u = (5, -2, 4), v = (2, -3, 5), w = (4, 5, -7)

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 12, 2023 04:43 AM

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In Problems 1518, apply Theorem 4 (that is, calculate a determinant) to determine whether the given vectors

Question:

THEOREM 4 Three Linearly Independent Vectors The vectors u = (₁, U2, U3), V = (v₁, V2, V3), and w = (w₁, W2, W3) are linearly independent if and only if U₁ V₁ W₁ U2 V2 W2 0. U3 V3 W3 (8)

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5 2 4 2 4 3 ...View the full answer

Differential Equations And Linear Algebra

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