Elementary Linear Algebra with Applications

For introductory sophomore-level courses in Linear Algebra or Matrix Theory. This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.

 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 A P P E N D I X A Preliminaries A P P E N D I X B Complex Numbers A P P E N D I X C Introduction to Proofs