Which of the following sets of vectors are linearly independent? A. (4, 8,-5), (-9, -4, -6), (-13, -12, -1) B. (1, -2,4), (-8, 7,0), (3, 6,5) C. (-8, -2), (8, 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following sets of vectors are linearly independent?
A. (4,8,-5), (-9, -4,-6), (-13, -12, -1)
● B. (1, -2, 4), (-8, 7, 0), (3, 6, 5)
C. (-8, -2), (8,2)
• D. (4, 8,-5), (-9, -4, -6), (-13, -1, -12 ), ( 4, 11, -13)
E. (-3, 1, -2), (1, 7,-8)
• F. (-1, 5), (9,-1)
● G. (-6, 1, 1, -2), (1, 7, -4,-9)
H. (4, 6), (0,0)
Transcribed Image Text:Which of the following sets of vectors are linearly independent? A. (4,8,-5), (-9, -4,-6), (-13, -12, -1) ● B. (1, -2, 4), (-8, 7, 0), (3, 6, 5) C. (-8, -2), (8,2) • D. (4, 8,-5), (-9, -4, -6), (-13, -1, -12 ), ( 4, 11, -13) E. (-3, 1, -2), (1, 7,-8) • F. (-1, 5), (9,-1) ● G. (-6, 1, 1, -2), (1, 7, -4,-9) H. (4, 6), (0,0)
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Which of the following sets of vectors are linearly independent?
A. (4,8,-5), (-9, -4,-6), (-13, -12, -1)
● B. (1, -2, 4), (-8, 7, 0), (3, 6, 5)
C. (-8, -2), (8,2)
• D. (4, 8,-5), (-9, -4, -6), (-13, -1, -12 ), ( 4, 11, -13)
E. (-3, 1, -2), (1, 7,-8)
• F. (-1, 5), (9,-1)
● G. (-6, 1, 1, -2), (1, 7, -4,-9)
H. (4, 6), (0,0)
Transcribed Image Text:Which of the following sets of vectors are linearly independent? A. (4,8,-5), (-9, -4,-6), (-13, -12, -1) ● B. (1, -2, 4), (-8, 7, 0), (3, 6, 5) C. (-8, -2), (8,2) • D. (4, 8,-5), (-9, -4, -6), (-13, -1, -12 ), ( 4, 11, -13) E. (-3, 1, -2), (1, 7,-8) • F. (-1, 5), (9,-1) ● G. (-6, 1, 1, -2), (1, 7, -4,-9) H. (4, 6), (0,0)
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