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linear Consider the following vectors in R³: V= (-1,7,2), u₁₁ = (1,3,5) U1₂ = (2₁-1₁3), (13= (-3₁2₁-4). Write vas a combination of U₁, U₂, U3 if possible. If this is not possible say so. In either case, show all your work.

linear Consider the following vectors in R³: V= (-1,7,2), u₁₁ = (1,3,5) U1₂ = (2₁-1₁3), (13= (-3₁2₁-4). Write vas a combination of U₁, U₂, U3 if possible. If this is not possible say so. In either case, show all your work.

Advanced Engineering Mathematics
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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Consider the following vectors in \( \mathbb{R}^3 \): \( \mathbf{v} = (-1, 7, 2) \), \( \mathbf{u}_1 = (1, 3, 5) \), \( \mathbf{u}_2 = (2, -1, 3) \), \( \mathbf{u}_3 = (-3, 2, -4) \). Write \( \mathbf{v} \) as a linear combination of \( \mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3 \) if possible. If this is not possible, say so. In either case, show all your work.
Transcribed Image Text:Consider the following vectors in \( \mathbb{R}^3 \): \( \mathbf{v} = (-1, 7, 2) \), \( \mathbf{u}_1 = (1, 3, 5) \), \( \mathbf{u}_2 = (2, -1, 3) \), \( \mathbf{u}_3 = (-3, 2, -4) \). Write \( \mathbf{v} \) as a linear combination of \( \mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3 \) if possible. If this is not possible, say so. In either case, show all your work.
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