In a three-dimensional vector space consider an operator M in0 iv20 0-iv2 02orthonormal basis {|1), |2), |3)} which is written as M=3Question :1) Is M hermit and unitarity?2) Calculate the eigenvalues and eigenvectors of M in the normalizedexpansion of the basis.

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Answered: In a three-dimensional vector space…

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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In a three-dimensional vector space consider an operator M in 0 iv2 0 0 -iv2 0 2 orthonormal basis {|1), |2), |3)} which is written as M= 3 Question : 1) Is M hermit and unitarity? 2) Calculate the eigenvalues and eigenvectors of M in the normalized expansion of the basis.