This tutorial builds on topics covered in an introductory linear algebra course. The instructor’s goal is to provide the reader with a thorough understanding of matrix algebra and its applications while maintaining a focus on computational aspect of the field. Topics include, determinants, linear equations, vector spaces, bases and dimension, linear maps and matrices, eigenvalues and eigenvectors, diagonalization, quadratic forms, applications to geometry and physics, orthogonal matrices, Cayley-Hamilton theorem, forms of a matrix as a symmetric matrix and an Hermitian matrix.
This book introduces the basics of linear algebra with a thorough exposition of the theory for users of MATLAB, as well as an extensive tutorial for its application. With proper practice, readers will gain the ability to use appropriate matrix methods in order to solve important problems in science and engineering. The author provides the fundamental knowledge of linear algebra required for a more advanced study in this field.
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