0
Given a complex number z = a + bi, the conjugate z* = a - bi, so z + z*= a + bi + a - bi = 2*a. Note that a and b are both real numbers, and i is the imaginary unit: +sqrt(-1).
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
How do you use the word triangle in a complex sentence?
A triangle is a closed shape with 3 straight lines, where the sum of its angles is 180 degrees.
What is i34?
i34 is the complex part of the number 0+i34. The real part is 0, so this is a purely imaginary number.
Find the reciprocal of the complex number 3 plus 2i Give your answer in the usual a plus bi form?
It is 3/13 - 2/13*i
What is the value of x in ax2 bx c0?
ax2 + bx + c = 0 , find the value of x . b2-4ac>o x is real (2 different values will solve) b2-4ac=o -> a double root (a single real number will solve it) x=real numbers. b2-4ac<0 x= two complex number roots (either pure imaginary or a complex number with real and imaginary components)
What is the Pythagoras triangle?
Any right angled triangle The Theorem state that the "Sum of the square on the hypotenuse (C) is equal to the sum of the squares on the other two sides (A and B)" That is C2=A2+B2
Is the sum of a complex number and its conjugate a real or imaginary number?
Their sum is real.
Is the sum of two conjugate complex number a real number?
Not necessarily. It can be wholly imaginary.For example, 1 + i actually has two complex conjugates. Most schools will teach you that the complex conjugate is 1 - i. However, -1 + i is also a conjugate for 1 + i. (Their product is -1 times the product of the "normal" conjugate pair).The sum of 1 + i and -1 + i = 2i
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 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 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.
Conjugate and a complex number equal?
The conjugate will have equal magnitude. The angle from the real axis will be the same angle measure (but opposite direction).
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.
Graphs of a complex number and its conjugate?
The graph of a complex number and its conjugate in the complex plane are reflections of each other across the real axis. If a complex number is represented as z = a + bi, its conjugate z* is a - bi. This symmetry across the real axis is a property of the complex conjugate relationship.
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 complex conjugate complex number-8-6i?
-6i-8
