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If aj is a symmetric covariant tensor and b, a cova- . riant vector which satisfy the relation ajjbx + ajk bi + akibj = 0 prove that either or b₁ = 0.

If aj is a symmetric covariant tensor and b, a cova- . riant vector which satisfy the relation ajjbx + ajk bi + akibj = 0 prove that either or b₁ = 0.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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If a¡ is a symmetric covariant tensor and b¡ a cova- ij i riant vector which satisfy the relation a¡jbk + ajk b; + ak;bj = 0 蛋 prove that either A₁ = 0 or b₁ = 0. :
Transcribed Image Text:If a¡ is a symmetric covariant tensor and b¡ a cova- ij i riant vector which satisfy the relation a¡jbk + ajk b; + ak;bj = 0 蛋 prove that either A₁ = 0 or b₁ = 0. :
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