Chapters 1–6 discuss introductory topics like groups, rings, fields, matrices, determinants, systems of linear equations, vector spaces, linear transformations, dual spaces, and inner product spaces, which are taught at the first course of linear algebra at the undergraduate level. Chapters 7–9 cover advanced topics like canonical, bilinear, quadratic, sesquilinear and Hermitian forms of operators and matrices, which are taught at the advanced undergraduate course in mathematics. Chapters 10–12 focus on empowering readers to pursue interdisciplinary applications of linear algebra and illustrate the power of the subject through a variety of applications in numerical methods, analytical geometry and in solving linear system of differential equations. weiterlesen