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Let V1 = -9 V2 = 3 V3 6 1 and v4= -3 1 B | -3 Linearly Dependent + 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds. OV₁+ 0 V2+ 0 V3+ 0 + 0 V4 = 0.

Let V1 = -9 V2 = 3 V3 6 1 and v4= -3 1 B | -3 Linearly Dependent + 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds. OV₁+ 0 V2+ 0 V3+ 0 + 0 V4 = 0.

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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Let v1 = -9 -6 Linearly Dependent V2 = -3 1 -1 V3 = 0 v1+ 0 V2+ 0 v3+ 0 V4 = 0. 6 -3 7 6 , and v4 = -3 1 -3 -3 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds.
Transcribed Image Text:Let v1 = -9 -6 Linearly Dependent V2 = -3 1 -1 V3 = 0 v1+ 0 V2+ 0 v3+ 0 V4 = 0. 6 -3 7 6 , and v4 = -3 1 -3 -3 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds.
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