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When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.

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โˆ™ 2010-12-16 01:27:49
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Q: What is the relationship between a complex number and its conjugate?
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Related questions

What is the graphical relationship between a conjugate number and a complex number?

Graphically, the conjugate of a complex number is its reflection on the real axis.


What is the complex conjugate of the following complex number 7 plus 5i?

The conjugate is 7-5i


What is complex conjugate for the number 9-5i?

The conjugate is 7 - 3i is 7 + 3i.


What is the meaning of Complex conjugate reflection?

For a complex number (a + bi), its conjugate is (a - bi). If the number is graphically plotted on the Complex Plane as [a,b], where the Real number is the horizontal component and Imaginary is vertical component, the Complex Conjugate is the point which is reflected across the real (horizontal) axis.


What is the complex conjugate complex number-8-6i?

-6i-8


If a and b are any real numbers what is the conjugate of a plus b?

The concept of conjugate is usually used in complex numbers. If your complex number is a + bi, then its conjugate is a - bi.


Does every real number equal its complex conjugate?

Yes they do, complex conjugate only flips the sign of the imaginary part.


What is the conjugate of a real number?

Since the imaginary portion of a real number is zero, the complex conjugate of a real number is the same number.


What is conjugate function?

If you have a complex function in the form "a+ib", the (complex) conjugate is "a-ib". "Conjugate" is usually a function that the original function must be multiplied by to achieve a real number.


Is the difference of a complex number and it's conjugate an imaginary number?

Yes. By definition, the complex conjugate of a+bi is a-bi and a+bi - (a - bi)= 2bi which is imaginary (or 0)


Find the complex conjugate of 14 plus 12i?

To find the complex conjugate of a number, change the sign in front of the imaginary part. Thus, the complex conjugate of 14 + 12i is simply 14 - 12i.


What effect does a congugate have on other complex numbers?

A number multiplied by its complex conjugate will result in a real number. Also, adding a number to its conjugate will result in a real number. But typically the multiplication is what is used.

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