Higher Mathematics for Science, Technology and Engineering

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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The ...
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Theory of Determinants and Matrices and their Applications in Linear Equation Theory

Pp. 180-225 (46)

S. G. Ahmed

Abstract

Determinants and matrices are very important subjects that are widely found in different branches and topics in mathematics. The present chapter deals with these two topics in some brief details starting the preliminary definitions of determinants and matrices, their properties. The linear system of equations from its mathematical constitution till different methods of solutions is also discussed in brief details.

Keywords:

Cofactors, determinants, elementary matrices, eigenvectors, Laplace expansion, minors, matrix operations.

Affiliation:

Department of Engineering Physics and Mathematics, Faculty of Engineering, Zagazig University, Egypt.