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Physics, Quantum Mechanics
Year 3

Matrices


The trace of a matrix A, written tr(A), is defined to be the sum of its diagonal elements:




(a)Show that for any two square matrices, tr(AB)=tr(BA).

(b) Show the for any matrix A, the trace is equal to the sum of its eigenvalues (where multiple eigenvalues must be included in the sum multiple times).

Attachments
Doc1.doc  View File

By OTA:  Saibal Mitra, PhD (IP)

OTA Rating:  4.9/5

Your Price:  $2.19  (original value ~$7.98)

What's included:

  • Plain text response
  • Attachment(s):
    • trace.pdf
    • trace.ps
    • trace.tex
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