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-2 - [109]. V. 6 Let V1 dependent. Upload Choose a File -3 V2 = 20 k Find the values of k for which the vectors V₁, V2, V3 are linearl-

-2 - [109]. V. 6 Let V1 dependent. Upload Choose a File -3 V2 = 20 k Find the values of k for which the vectors V₁, V2, V3 are linearl-

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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### Linear Dependence of Vectors Let \( \mathbf{v_1} = \begin{bmatrix} 1 \\ -5 \\ -3 \end{bmatrix} \), \( \mathbf{v_2} = \begin{bmatrix} -2 \\ 10 \\ 6 \end{bmatrix} \), and \( \mathbf{v_3} = \begin{bmatrix} -4 \\ 20 \\ k \end{bmatrix} \). Find the values of \( k \) for which the vectors \( \mathbf{v_1}, \mathbf{v_2}, \mathbf{v_3} \) are linearly dependent. [Upload Box Here]
Transcribed Image Text:### Linear Dependence of Vectors Let \( \mathbf{v_1} = \begin{bmatrix} 1 \\ -5 \\ -3 \end{bmatrix} \), \( \mathbf{v_2} = \begin{bmatrix} -2 \\ 10 \\ 6 \end{bmatrix} \), and \( \mathbf{v_3} = \begin{bmatrix} -4 \\ 20 \\ k \end{bmatrix} \). Find the values of \( k \) for which the vectors \( \mathbf{v_1}, \mathbf{v_2}, \mathbf{v_3} \) are linearly dependent. [Upload Box Here]
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