Linear Algebra

Linear Algebra

1. Echelon Matrices

2. Possibilities of Linear Systems

3. Matrix Algebra

4. Transpose

5. Singular Matrix

6. Row Canonical/ Row-Reduced Form

7. Finding an Inverse Matrix

8. Determinant of a 2 x 2

9. Determinant of a 3 x 3

10. If the determinant is zero, the matrix is NOT invertible

11. Formula for inverse of a 2 x 2 matrix

12. Properties of Determinants (5)

13. Adjacency Matrices

14. Trace of a Matrix

15. Clique

16. Maximal Clique

17. Linear Transformations

18. Rotations

19. Reflections

20. Projections

21. Shears

22. Composite Transformations

23. Vector Space

24. Subspaces

25. Differentiation & Linearity

26. Integration & Linearity

27. Isomorphism

28. Bijection

29. Kernel

30. Image

31. Column Space

32. Affine Subspaces

33. Linear Combination

34. Spanning Set

35. Linearly Independent

36. Basis

37. Dimension

38. Row Space

39. Bases for Rn

40. Rank

41. Nullity