Math - Linear Algebra I (Science)

Exercises by Annette Clark (typed by Gennaro Rispoli)

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These exercises were given by Annette Clark." They are excellent problems in preparation for examinations. Using these problems will improve the performance of the students.

Some problems are in reference to the textbook: Elementary Linear Algebra (Abridged Version) by Anton & Rorres (8th edition)

The files are available in portable document format (pdf). If you have the Adobe Acrobat Reader, you can use it to view and print files in portable document format. The latest version of the Acrobat Reader is available for free here.

Gennaro Rispoli

Contents

1. Matrix Operations

2. Inverses

3. Matrix: Rules for Operations

4. Inverse Theory Results

5. Elementary Matrices

6. LU - Decomposition

7. Determinant

8. Lines

9. Planes

10. Intersection of Planes

11. Intersection of a Line and a Plane

12. Lines and Planes

13. Distance

14. Vectors

15. Linear Combinations

16. Subspaces

17. Spanning

18. Basis

19. Matrix Subspaces

20. Theorems

21. Applications

22. Electrical Networks I ; Electrical Networks II ; Maple Instructions

23. Balancing Chemical Equations

24. Projections

25. Theory on Inverse Elementary Matrix

26. Review 1: Systems

27. Review 2: Practice Test 1 and 2 on various topics

28. Review 3: Various Topics

29. Review 4: Various Topics

30. Review 5: Various Topics