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

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i=(0,1)
i=(0,1)

(a,b)+(c,d)=(a+c,b+d); (a,b)x(c,d)=(ac-bd,ad+bc)
[[Image:IMG.jpg]]
[[Image:IMG.jpg]]
[[Image:IMG2.jpg]]
[[Image:IMG2.jpg]]

Revision as of 12:30, 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 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) File:IMG.jpg File:IMG2.jpg File:IMG3.jpg