Here is the listing of Best reference books on Applied Linear Algebra.
1. “Linear Algebra” by K. Hoffman and R. Kunze
Book Review: The book introduces the basic and advanced concepts of linear algebra. It contains intuitive introductions along with examples that expose important ideas to the users and also demonstrate the usage of various theorem results. The book also contains chapters on linear equations, vector spaces, linear transformations, polynomials, determinants, elementary canonical forms, rational forms, Jordan forms, inner product spaces and its operators and bilinear forms. This book is an excellent book for all the readers interested in linear algebra.


2. “Matrix Computations” by G.H. Golub and C.F. Van Loan
Book Review: This book is a very good text book for computer science which contains very useful information covering the mathematical background and algorithmic skills which are used in the production of numerical software. The book contains revised chapters on matrix multiplication problems, parallel matrix computations, CS decomposition treatment, floating point arithmetic operations, gramschmidt process, concepts of GMRES, QMR and other methods which demonstrate the sparse unsymmetric linear system problems.


3. “Functional Analysis” by G. Bachman and L. Narici
Book Review: The book contains information about basic and advanced concepts of linear algebra, advanced calculus, engineering and physics. The book contains chapters on inner product spaces, normed spaces, metric spaces, topological spaces, orthonormal sets, Hahnbanach theorem, consequences and results of various theorems, spectral notions, square roots, spectral decomposition theorem and many other topics. Every chapter contains exercises which tests the reader’s understanding. The book also contains glossary of definitions, proof of theorems which benefits the readers.


4. “Introductory Functional Analysis with Applications” by Erwin Kreyszig
Book Review: The book contains information on introduction to functional analysis along with various applications. The book provides avenues for the application of functional analysis as well as practical study of mathematics and natural sciences. The book also contains worked examples on Hilbert space theory, banach spaces thereby stressing on the concepts, principles, methods and major applications of functional analysis. The book is concerned with the study of spaces of functions. The book also provides information about differential and integral equations, calculus of variations and quantum mechanics.


5. “Applied Linear Algebra and Optimization Using MATLAB” by Rizwan Butt  
6. “APPLIED LINEAR ALGEBRA AND MATRIX ANALYSIS” by Thomas S. Shores  
7. “HANDBOOK OF APPLIED LINEAR ALGEBRA” by SYLVESTER MURRAY  
8. “Linear Algebra: Pure & Applied” by Edgar G. Goodaire  
9. “Linear Algebra over Commutative Rings” by Mcdonald  
10. “THEOREMS AND APPLIED PRINCIPLES IN LINEAR ALGEBRA” by Prof. Febe Czetyrbok  
Sanfoundry Global Education & Learning Series – Best Reference Books!