4. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS, Erzurum, Türkiye, 28 - 30 Nisan 2022, ss.237-243
This work is on rational matrices. It is investigated whether there is a property similar to the known properties
of rational numbers in real numbers. In previous studies, it is obtained to write rational matrices with equal
denominators by adding them to the common denominator. If the denominators are different, it is given as a
research problem (Keleş, 2018). In later studies, it is stated that matrices could be factored (Keleş, 2022).
Therefore, it is concluded that rational matrices with different denominators can be collected in a common
denominator. Whether factoring or simplifying matrices, it provides many advantages in applications. The difference in factorization presents the fact that images can contain new images. Rational simplification
means that some images can be extracted from images. All this informs us that there may be new
developments in matrices. The analyzer is presented new results, new lemmas and
theorems. How to perform the product of two rational matrices with the same denominator is discussed. At
the end of the procedures, the presence or absence of common features is examined. Examples of those who
did not provide are given. All of these processes allow the images to be mutually profitable, in other words,
the data. It even states that this comparison is possible with numerical data. In particular, this study presents
different approaches to the processing of data in computer applications. The fact that a regular matrix
different from unit has at least two factors explains that it has at least two matrices equal to a rational matrix.
This gives different results on the applications of mathematics.