66 12 21 3 3 Let vị V2 = V3 = and v4 = -34 -6 92 9. 16 -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 0's for the coefficients, since that relationship always holds. Vi+ -v2+V3+ V4 = 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 30EQ
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66
6.
12
-3
21
Let vi
V2 =
V3 =
and v4 =
-34
-3
-6
1
92
9.
16
-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 0's for the coefficients, since that relationship always holds.
Vi+ v2+ V3+ V4 = 0.
Transcribed Image Text:66 6. 12 -3 21 Let vi V2 = V3 = and v4 = -34 -3 -6 1 92 9. 16 -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 0's for the coefficients, since that relationship always holds. Vi+ v2+ V3+ V4 = 0.
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