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What is the usefulness of the conjugate and its effect on other complex numbers?
Wiki User
∙ 12y ago
The conjugate of a complex number is the same number (but the imaginary part has opposite sign).
e.g.: A=[5i - 2] --> A*=[-5i - 2]
Graphically, as you change the sign, you also change the direction of that vector.
The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number.
e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i
Wiki User
∙ 12y ago
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