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-6- and v3 3 7. Let vi , V2 = 5 9 2 -2 6. (a) show that {v1, V2, V3} is linearly dependent. (b) Find a linear dependency relationship.

-6- and v3 3 7. Let vi , V2 = 5 9 2 -2 6. (a) show that {v1, V2, V3} is linearly dependent. (b) Find a linear dependency relationship.

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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**Problem 7:** Let \( v_1 = \begin{bmatrix} 3 \\ -1 \\ 2 \end{bmatrix} \), \( v_2 = \begin{bmatrix} -9 \\ 5 \\ -2 \end{bmatrix} \), and \( v_3 = \begin{bmatrix} -9 \\ 9 \\ 6 \end{bmatrix} \). (a) Show that \(\{v_1, v_2, v_3\}\) is linearly dependent. (b) Find a linear dependency relationship.
Transcribed Image Text:**Problem 7:** Let \( v_1 = \begin{bmatrix} 3 \\ -1 \\ 2 \end{bmatrix} \), \( v_2 = \begin{bmatrix} -9 \\ 5 \\ -2 \end{bmatrix} \), and \( v_3 = \begin{bmatrix} -9 \\ 9 \\ 6 \end{bmatrix} \). (a) Show that \(\{v_1, v_2, v_3\}\) is linearly dependent. (b) Find a linear dependency relationship.
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