1. The best of the algebras
Linear algebra
The best of the algebras

2. Functions as Sets

3. Functions as Sets
In words: x y
Is Related to
Whenever
x eats y

4. Functions as Sets
Is Related to
Is Related to
Is Related to

5. ( )= ( )= ( )= Functions as Sets
You are more used to seeing it like this:
( )=
( )=
( )=

6. Functions as Sets
( , )
( , )
( , )

7. Functions as Sets
You may call this the “GRAPH”

8. y
(2-D) x

9. y
Lines (2-D) x

10. Come on Rob this stuff don’t describe no line!!!
Equation of a line:

11. Lines as relations
In words: x y
Is Related to
Whenever

12. Lines as relations

13. y
Lines (2-D) x
One point of intersection

14. Lines as relations

15. y
Lines (2-D)
No intersection x

16. Lines as relations

17. y
Lines (2-D) x
Infinite intersection

18. Lines as relations

19. Lines as relations
How do we figure this out without a picture???