Title: Essential linear algebra with applications
Description: This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject’s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality. Key features include: • a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory;  • over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance; • an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them.   Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course.
Subjects: Linear Algebras, Problems, exercises, Algebras, linear, Algebra, Mathematics, Computer science, Matrix theory, Engineering mathematics, Matrix Theory Linear and Multilinear Algebras, Applications of Mathematics, Game Theory, Economics, Social and Behav. Sciences, Appl.Mathematics/Computational Methods of Engineering, Math Applications in Computer Science