Secondary transpose of matrix and generalized inverses

Savitha Varkady, Divya Shenoy Purushothama, Umashankara Kelathaya, Ravindra B. Bapat

Research output: Contribution to journalArticlepeer-review


In this paper, several existing results related to secondary transpose are critically reviewed and a result analogous to spectral decomposition theorem is obtained for a real secondary symmetric matrix. Noting that Moore-Penrose inverse with reference to secondary transpose involution, namely s-g inverse, need not always exist, we explore a few necessary sufficient conditions for the existence of such Moore-Penrose inverse. Further, we provide expressions and determinantal formula to compute the same.

Original languageEnglish
Article number2450052
JournalJournal of Algebra and Its Applications
Publication statusAccepted/In press - 2022

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics


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