Jambura Journal of Mathematics (Jan 2023)

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

  • Ani Ani,
  • Mashadi Mashadi,
  • Sri Gemawati

DOI
https://doi.org/10.34312/jjom.v5i1.16304
Journal volume & issue
Vol. 5, no. 1
pp. 95 – 114

Abstract

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The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can be determined by the Moore-Penrose inverse. The purpose of this research is to determine the inverse Moore-Penrose algorithm on a real symbolic Turiyam matrix of size m × n with m 6= n. Algebraic operations on symbolic Turiyam is a method used to obtain the Moore-Penrose inverse on real symbolic Turiyam matrices by applying symbolic Turiyam algebraic operations on the concept of Moore-Penrose inverses. The main result obtained is the inverse Moore-Penrose algorithm on the real symbolic Turiyam matrix. The demonstration example given shows that the Moore-Penrose inverse on a real symbolic Turiyam matrix always exists even though the matrix is not a square matrix.

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