• Problem 4: Suppose that T and T are n-dimensional vector spaces such that T" is the dual of T. Let u e T* and v, w eT. If L is a skew-symmetric rank 3 tensor of type (1,2), show that its components satisfy L"he = -L"ch

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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• Problem 4:
Suppose that T and T are n-dimensional vector spaces such that T is the dual of T. Let
u e T* and v, w ET. If L is a skew-symmetric rank 3 tensor of type (1,2), show that its
components satisfy
L*he = -L"cb
Transcribed Image Text:• Problem 4: Suppose that T and T are n-dimensional vector spaces such that T is the dual of T. Let u e T* and v, w ET. If L is a skew-symmetric rank 3 tensor of type (1,2), show that its components satisfy L*he = -L"cb
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