12-240/Classnotes for Thursday September 20

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