Best Elementary linear algebra 9th edition

I’m recommending a very good book on Linear Algebra by David C. Lay which is 9th edition. The book is well written and covers the basics of linear algebra like systems of equations, matrix operations, vector spaces, determinants, eigenvalues and eigenvectors.

 

Linear algebra is an important branch of mathematics concerned with the study of vector spaces and linear mappings. It is the basic tool used in most parts of modern mathematics, including geometry, topology and analysis. This book is intended for students majoring in mathematics, physics, economics, and engineering. It is a concise introduction to the subject aimed at undergraduate students who have had the equivalent of a year of calculus.

 

This book provides a thorough and detailed coverage of the fundamentals of linear algebra. The text includes an introduction to Matrices and Linear Transformations, followed by chapters on Systems of Linear Equations and Sets, Vector Spaces and Subspaces, Determinants, Eigenvalues, Eigenvectors, Orthogonal and Projection Matrices, Change of Basis and Rank of Matrices, Matrix Inverses and Applications of Matrix Inverses. Additional topics include the Cayley-Hamilton Theorem, Quadratic Forms in Linear Algebra, Finite Fields and the Euclidean Algorithm.

 

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