0
Still curious? Ask our experts.
Chat with our AI personalities
Ross
Devin
ProfessorAdd your answer:
Earn +20 pts
What is the product of the complex number a plus bi and its conjugate?
The product is a^2 + b^2.
How do conjugate arrive at complex number?
Complex numbers form: a + bi where a and b are real numbers. The conjugate of a + bi is a - bi If you multiply a complex number by its conjugate, the product will be a real number, such as (a + bi)(a - bi) = a2 - (bi)2 = a2 - b2i2 = a2 - b2(-1) = a2 + b2
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 of 8 plus 8i?
8 - 8i
Can you figure out two complex numbers where neither a nor b are zero that when multiplied together become a real number?
This might be a complex number and its conjugate: (a + bi) times (a - bi). More generally, any two complex numbers such that the angle formed by one is the negative of the angle formed by the other. In other words, you can multiply the conjugate by any real constant and still get a real result: (a + bi) times (ca - cbi). Specific examples: Multiply (3 + 2i) times (3 - 2i). Multiply (3 + 2i) times (6 - 4i).
