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How can I prove that in terms of this inner product the operator ∂t : s(t) → ∂ts(t) is anti-Hermitian.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).

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How can I prove that in terms of this inner product the operator ∂t : s(t) → ∂ts(t) is anti-Hermitian.

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