Masse R. Matrices and Determinants 2023

Textbook in PDF format

Matrices and determinants, the subjects of this book, are found throughout mathematics and the sciences. They are indispensable tools that often encountered whenever solutions are sought for a set of simultaneous equations or whenever a change of variables is desired in a problem. The theory, algebra, and properties of matrices and determinants will be presented in this book. The material in this book is organized and presented in a manner designed to make this a comprehensive introduction to matrices and determinants. Most of the sources for this book are given in the references at the end of the book.
Introduction to Matrices.
Matrix Types.
Elementary Matrices.
Determinants.
Inverse of a Matrix.
Solution of Linear Algebraic Equations.
Eigenvalues and Eigenvectors.
Equivalent Matrices and Quadratic Forms.
Matrix Calculus.
Appendix A The Greek Alphabet.
Appendix B Matrix Relations.
Appendix C Determinant Relations