answersLogoWhite

0

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

User Avatar

Wiki User

13y ago

What else can I help you with?

Related Questions

Is the difference of a complex number and its conjugate is a pure imaginary number?

Yes, the difference between a complex number and its conjugate is a pure imaginary number. If we represent a complex number as ( z = a + bi ) (where ( a ) is the real part and ( b ) is the imaginary part), its conjugate is ( \overline{z} = a - bi ). The difference ( z - \overline{z} = (a + bi) - (a - bi) = 2bi ), which is purely imaginary since it has no real part.


Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).


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

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


What is the conjugate of complex number -2?

The conjugate of a complex number is obtained by changing the sign of its imaginary part. The complex number -2 can be expressed as -2 + 0i, where the imaginary part is 0. Therefore, the conjugate of -2 is also -2 + 0i, which simplifies to -2. Thus, the conjugate of the complex number -2 is -2.


Does every real number equal its complex conjugate?

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


What is the complex conjugate 3i plus 4?

The complex conjugate of a complex number is obtained by changing the sign of its imaginary part. For the complex number ( 3i + 4 ), which can be expressed as ( 4 + 3i ), the complex conjugate is ( 4 - 3i ).


Is the sum of a complex number and its conjugate a real or imaginary number?

Their sum is real.


Find the conjugate of 8 plus 4i.?

The conjugate of a complex number is obtained by changing the sign of its imaginary part. For the complex number (8 + 4i), the conjugate is (8 - 4i).


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 the conjugate of -5 4i?

-9


What is complex conjugate for the number 7 3i?

The complex conjugate of a number in the form a + bi is simply the same number with the sign of the imaginary part changed. In this case, the number is 7 + 3i, so its complex conjugate would be 7 - 3i. This is because the complex conjugate reflects the number across the real axis on the complex plane.


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.