ON NEW DEVELOPMENTS IN MULTIPLICATION MATRIX


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Keleş H.

AFRICA 4TH INTERNATIONAL CONFERENCE ON NEW HORIZONS IN SCIENCE, Casablanca, Fas, 19 - 21 Ocak 2024, ss.207-212

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Casablanca
  • Basıldığı Ülke: Fas
  • Sayfa Sayıları: ss.207-212
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This study is about right multiplication of matrices. The size of each real number is not measured. The substitution of two real numbers is not affect the operation. Therefore, the property of commutativity for operations is not noticeable. Multiplication of real numbers, which can be written along a line, is also two way. Here, the direction is not an influential factor even when the elements are switched. For example 3.5 = 15 and 5.3 = 15. In matrices this makes left and right multiplication is mandatory. Left multiplication is already defined. This is multiplication in known matrices. Left multiplication is used in the studies since the definition of this operation until today. The most insurmountable situation here is that matrices do not commutative property according to this operation. The left product is taken into account, when

AB is written. Here the matrix A is made to be effective. This left product is denoted by AB

. The right definition in this study is denoted by BA . This operation multiplication is seen to be compatible with the left multiplication. The commutativity property in matrices is reinvestigated with this approach. The relation between the right multiplication and the Cracovian Product is given [4]. In this study, we are investigated the new properties that emerged with the right product obtained. The comparisons are made. In particular, the absence of the commutativity property is verified. That is, the new actual situations are obtained for many statements that could not be made. The right multiplication is determined the expression of new technological achievements