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Linear Algebra Topics


1. Systems of Linear Equations and Matrices


2. Determinants


3. Vector Geometry


4. Abstract Fields


5. Vector Spaces


6. Linear Independence, Spanning Sets, and Bases


7. Linear Maps


8. Polynomials


9. Eigenvalues of Linear Operators


10. Inner Product Spaces


11. Linear Functionals and Adjoint Linear Operators


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References
  • 1. Elementary Linear Algebra and Applications (11th Edition) by Howard Anton and Chris Rorres
  • 2. Linear Algebra Done Right (2nd Edition) by Sheldon Axler
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