Elementary Linear Algebra with Applications (Classic Version)

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

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