Let v1 = (-6, -6, -9), i2 = (3, 3, 12), iz =(-1,-1,6). Are the vectors v1, 02 and vz linearly independent? choose If the vectors are independent, enter zero in every answer blank since those are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. (0,0,0) = (-6,-6, -9)+ (3,3, 12) + (-1,–1, 6).
Let v1 = (-6, -6, -9), i2 = (3, 3, 12), iz =(-1,-1,6). Are the vectors v1, 02 and vz linearly independent? choose If the vectors are independent, enter zero in every answer blank since those are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. (0,0,0) = (-6,-6, -9)+ (3,3, 12) + (-1,–1, 6).
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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Transcribed Image Text:Let
v1 = (-6, –6, –9), v2 = (3, 3, 12) , iz = (-1,–1,6) .
Are the vectors v1, v2 and v3 linearly independent?
choose
If the vectors are independent, enter zero in every answer blank since those are only the values that make the equation below true. If they are dependent, find
numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer.
(0,0,0) =
(-6,-6, -9) +
(3,3, 12) +
(-1,–1,6).
Transcribed Image Text:If k is a real number, then the vectors (1, k), (k, 5k + 14) are linearly independent precisely when k + a,b,
where a =
and a < b.
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