a) Show that the matrix H constructed from a matrix A, as H = i(A – A†), is Hermitian, whether A is Hermitian or not. b) If H is Hermitian and U is Unitary, show that U-1HU is Hermitian.
a) Show that the matrix H constructed from a matrix A, as H = i(A – A†), is Hermitian, whether A is Hermitian or not. b) If H is Hermitian and U is Unitary, show that U-1HU is Hermitian.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a) Show that the matrix H constructed from a matrix A, as H = i(A – A†), is
Hermitian, whether A is Hermitian or not.
b) If H is Hermitian and U is Unitary, show that U-1HU is Hermitian.
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