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(1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) -4 ·[³]} -14 {LIED {[8]] -3 A. B. C. D. -8 16 8 -6 (II) -8 0 0 5 E. F. To NO 9 -1 8

(1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) -4 ·[³]} -14 {LIED {[8]] -3 A. B. C. D. -8 16 8 -6 (II) -8 0 0 5 E. F. To NO 9 -1 8

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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(1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) A. \(\left\{\begin{bmatrix} -4 \\ -14 \end{bmatrix}, \begin{bmatrix} 2 \\ 7 \end{bmatrix}\right\}\) B. \(\left\{\begin{bmatrix} 1 \\ -9 \end{bmatrix}, \begin{bmatrix} -6 \\ -1 \end{bmatrix}\right\}\) C. \(\left\{\begin{bmatrix} 0 \\ 0 \end{bmatrix}, \begin{bmatrix} -3 \\ -8 \end{bmatrix}\right\}\) D. \(\left\{\begin{bmatrix} -3 \\ 2 \\ 9 \end{bmatrix}, \begin{bmatrix} 6 \\ 3 \\ 8 \end{bmatrix}, \begin{bmatrix} 9 \\ 1 \\ -1 \end{bmatrix}\right\}\) E. \(\left\{\begin{bmatrix} -6 \\ -8 \\ 0 \end{bmatrix}, \begin{bmatrix} -9 \\ 5 \\ 0 \end{bmatrix}, \begin{bmatrix} 4 \\ 7 \\ 0 \end{bmatrix}\right\}\) F. \(\left\{\begin{bmatrix} -1 \\ -2 \\ -4 \end{bmatrix}, \begin{bmatrix} 6 \\ 9 \\ 8 \end{bmatrix}, \begin{bmatrix} 5 \\ 0 \\ -7 \end{bmatrix}\right\}\)
Transcribed Image Text:(1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) A. \(\left\{\begin{bmatrix} -4 \\ -14 \end{bmatrix}, \begin{bmatrix} 2 \\ 7 \end{bmatrix}\right\}\) B. \(\left\{\begin{bmatrix} 1 \\ -9 \end{bmatrix}, \begin{bmatrix} -6 \\ -1 \end{bmatrix}\right\}\) C. \(\left\{\begin{bmatrix} 0 \\ 0 \end{bmatrix}, \begin{bmatrix} -3 \\ -8 \end{bmatrix}\right\}\) D. \(\left\{\begin{bmatrix} -3 \\ 2 \\ 9 \end{bmatrix}, \begin{bmatrix} 6 \\ 3 \\ 8 \end{bmatrix}, \begin{bmatrix} 9 \\ 1 \\ -1 \end{bmatrix}\right\}\) E. \(\left\{\begin{bmatrix} -6 \\ -8 \\ 0 \end{bmatrix}, \begin{bmatrix} -9 \\ 5 \\ 0 \end{bmatrix}, \begin{bmatrix} 4 \\ 7 \\ 0 \end{bmatrix}\right\}\) F. \(\left\{\begin{bmatrix} -1 \\ -2 \\ -4 \end{bmatrix}, \begin{bmatrix} 6 \\ 9 \\ 8 \end{bmatrix}, \begin{bmatrix} 5 \\ 0 \\ -7 \end{bmatrix}\right\}\)
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