0 iConsider the hermitian matrix M =-i 0 -iFind its eigenvalues,and verify that they are all real numbers, and in this case are distinct.Find eigenvectors for the three eigenvalues, and verify that they form anorthogonal set with respect to the standard inner product on C³.

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i Consider the hermitian matrix M -i 0 -i Find its eigenvalu i and verify that they are all real numbers, and in this case are distine Find eigenvectors for the three eigenvalues, and verify that they form

i Consider the hermitian matrix M -i 0 -i Find its eigenvalu i and verify that they are all real numbers, and in this case are distine Find eigenvectors for the three eigenvalues, and verify that they form

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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Question

0 i
Consider the hermitian matrix M =
-i 0 -i
Find its eigenvalues,
and verify that they are all real numbers, and in this case are distinct.
Find eigenvectors for the three eigenvalues, and verify that they form an
orthogonal set with respect to the standard inner product on C³.

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