Linear Algebra 1 Session 2

Описание к видео Linear Algebra 1 Session 2

1. Quick review (Set defintion, Intersection, union, emtpy set defintion, power set defintion)
2. Definition of a graph
3. Definition of an application (map)
4. Properties (Equality of functions, compositions of maps, injection, surjection, bijection,
5. Inverse map
6. Inverse map of a subset
7. Image of a set
8. Relations (Symmetric, Transitive, Reflexive, Anti-symmetric)
9. Equvilance relation
10. Order
11. Equivilance class
12. Minimal element, maximal element, majorant (Upper bound), minorant (Lower bound)
13. Total order
14. Finite sets
15. Defintion of N (Natural numbers)
16. Some excercises

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