How do I add complex numbers?
An example of an AI chatbot conversation about complex number calculations.
How do I add complex numbers?
To add complex numbers, you combine their real parts and their imaginary parts separately. For example, (3 + 2i) + (1 + 4i) = (3+1) + (2+4)i = 4 + 6i.
What about subtracting them?
For subtraction, you do the same: subtract the real parts and the imaginary parts. So, (3 + 2i) - (1 + 4i) = (3-1) + (2-4)i = 2 - 2i.
Can you show me how to multiply complex numbers?
Sure! To multiply (a + bi) and (c + di), use the distributive property: (ac - bd) + (ad + bc)i. For example, (1 + 2i)(3 + 4i) = (13 - 24) + (14 + 23)i = -5 + 10i.
What is the conjugate of a complex number?
The conjugate of a complex number a + bi is a - bi. It reflects the number across the real axis in the complex plane.
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