Difference between revisions of "12-240/Classnotes for Thursday September 20"

From Drorbn
Jump to: navigation, search
(Complex number)
(Complex number)
Line 12: Line 12:
  
 
(a,b)+(c,d)=(a+c,b+d);  (a,b)x(c,d)=(ac-bd,ad+bc)
 
(a,b)+(c,d)=(a+c,b+d);  (a,b)x(c,d)=(ac-bd,ad+bc)
 +
 +
i^2=-1
 +
 
[[Image:IMG.jpg]]
 
[[Image:IMG.jpg]]
 
[[Image:IMG2.jpg]]
 
[[Image:IMG2.jpg]]
 
[[Image:IMG3.jpg]]
 
[[Image:IMG3.jpg]]

Revision as of 11:31, 21 September 2012

In this class, the professor completes the lecture about complex number and then introduces vector space.


Complex number

Definition:

C={(a,b): a, b \in\!\, R}

1 ( of C) = (1,0); 0 ( of C)= (0,0)

i=(0,1)

(a,b)+(c,d)=(a+c,b+d); (a,b)x(c,d)=(ac-bd,ad+bc)

i^2=-1

File:IMG.jpg File:IMG2.jpg File:IMG3.jpg