(Perform Operation)
(Perform Operation)
Line 12: Line 12:
  
 
<math> 7*i \times (7 - 3*i)  =  49*i - 21*i^2  =  49*i - 21*(-1)  =  21 + 49*i</math>
 
<math> 7*i \times (7 - 3*i)  =  49*i - 21*i^2  =  49*i - 21*(-1)  =  21 + 49*i</math>
 +
 +
 +
<math>(3 + 2*i)^2 + (4 - 3*i)  =  (9 + 6*i + 6*i + 4*i^2) + (4 - 3*i)  =  9 - 4 + 4 + 12*i - 3*i  =  9 + 9*i</math>

Revision as of 06:13, 3 September 2008

Find Conjugate

$ 5 - 3*i = 5 + 3*i $


$ 21 + 15*i = 21 - 15*i $


Perform Operation

$ (2 + 3*i) - (6 - 4*i) = -4 + 7*i $


$ 7*i \times (7 - 3*i) = 49*i - 21*i^2 = 49*i - 21*(-1) = 21 + 49*i $


$ (3 + 2*i)^2 + (4 - 3*i) = (9 + 6*i + 6*i + 4*i^2) + (4 - 3*i) = 9 - 4 + 4 + 12*i - 3*i = 9 + 9*i $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett