Let V₁ = ------ 2 and V3 = ? 1. Determine whether or not the three 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. V₁+ √₂+ V₁=0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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Let V₁ =
-B
-1
?
V₂ =
and V₁ =
✓ 1. Determine whether or not the three 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.
V₁+ V₂+ V3 = 0
Transcribed Image Text:Let V₁ = -B -1 ? V₂ = and V₁ = ✓ 1. Determine whether or not the three 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. V₁+ V₂+ V3 = 0
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