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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