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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

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Q: What is the usefulness of the conjugate and its effect on other complex numbers?
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