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3. A Review of Algebra

  • 2026
  • OriginalPaper
  • Chapter
Published in:
Author
Farzin Asadi
Published in
A Problem-Solving Approach to Ordinary Differential Equations
Publisher
Springer Nature Switzerland

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Abstract

This chapter delves into the fundamentals of equation-solving methods and linear algebra, with a particular emphasis on practical applications using MATLAB. It begins with a thorough review of first and second-order algebraic equations, including special cases and numeric examples. The chapter then explores absolute value equations, matrix multiplication, and the properties of determinants and matrix inversion. Practical examples and MATLAB code snippets are provided throughout to illustrate the concepts. The chapter concludes with a demonstration of how to solve systems of equations using matrices and MATLAB. Additionally, it showcases various MATLAB functions for generating matrices, calculating determinants, and finding matrix inverses. The chapter also includes a comparison of transpose operators in MATLAB. Overall, this chapter offers a comprehensive guide to applying linear algebra concepts in MATLAB, making it an invaluable resource for professionals seeking to enhance their problem-solving skills.
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previous chapter Review of Trigonometry
next chapter Classification of Differential Equations
Title
A Review of Algebra
Author
Farzin Asadi
Copyright Year
2026
Book
A Problem-Solving Approach to Ordinary Differential Equations

Print ISBN: 978-3-032-10087-0

Electronic ISBN: 978-3-032-10088-7

Copyright Year: 2026

DOI
https://doi.org/10.1007/978-3-032-10088-7_3
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