Some New Properties of The Real Quaternion Matrices and Matlab Applications
Journal Title: Cumhuriyet Science journal - Year 2019, Vol 40, Issue 1
Abstract
In this study, firstly, it was shown that the set of real quaternion matrices is a -dimensional module over the real matrix ring and -dimensional module over the complex matrix ring . Moreover, some new properties of the real quaternion matrices were described. Then, matrix representations of the real quaternion matrices were found easily by Matlab. These matrices were also applied to find the inverse of the real quaternion matrices and inverse matrices were obtained easily with these matrices. In addition, some new properties for matrix representations of the real quaternion matrices were found. Also, the inverse of the real quaternion block matrices was obtained by new methods. Finally, a new method to calculate the determinant of the real quaternion matrices was found and the determinant of these matrices was calculated easily with Matlab application.
Authors and Affiliations
Kemal Gökhan NALBANT, Salim YÜCE
Biosynthesis and Characterizatıon of Silver Nanopartıiles from the Lemon Leaves Extract
The synthesis and characterization of Ag nanoparticles from Citrus limonum (lemon leaves) collected the Eastern Black Sea region was investigated in this study. A household microwave system device was used for microwave...
Source Rock Characterictic of The Kızıldere Clays (ARSUZ-HATAY)
Iskenderun Bay is the extension of the Adana Basin and is a convenient place for hydrocarbon exploration in terms of its formation mechanism. It is necessary to find rocks that can display lithological properties of sour...
The Binding Energy of Impurities in the Asymmetrical Semi-Exponential Quantum Wells
Within the framework of effective-mass and envelope wave function approach, using a variational method, we have investigated the binding energy of shallow-donor impurities in an asymmetrical semi-exponential quantum well...
Comparison of Spectral Classification Methods in Water Quality
Today, water quality and water pollution can be detected using remote sensing and its terrestrial components. Remote sensing does not only provide a quick solution to detect water quality and pollution, but it could also...
Cytotoxic and Genotoxic Effects of Aqueous Extracts of Rosmarinus officinalis L., Lavandula stoechas L. and Tilia cordata Mill. on in vitro Human Peripheral Blood Lymphocytes
The aim of this study was to investigation of in vitro cytotoxic and genotoxic effects of infusion and decoction aqueous extracts obtained from Rosmarinus officinalis, Lavandula stoechas L. and Tilia cordata Mill. on hum...