This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.
1 – Linear Equations And Matrices
2 – Solving Linear Systems
3 – Determinants
4 – Real Vector Spaces
5 – Inner Product Spaces
6 – Linear Transformations and Matrices
7 – Eigenvalues and Eigenvectors
8 – Applications of Eigenvalues and Eigenvectors (Optional)
9 – MATLAB for Linear Algebra
10 – MATLAB Exercises
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