12-240/Classnotes for Thursday September 20: Difference between revisions
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(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) |
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i^2=-1 |
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[[Image:IMG.jpg]] |
[[Image:IMG.jpg]] |
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[[Image:IMG2.jpg]] |
[[Image:IMG2.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 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