Complex Number Calculations

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Complex number operations:

Addition: (a + bi) + (c + di) = (a + c) + (b + d)i
Subtraction: (a + bi) - (c + di) = (a - c) + (b - d)i
Multiplication: (a + bi)(c + di) = (ac - bd) + (ad + bc)i
Division: (a + bi)/(c + di) = [(ac + bd)/(c² + d²)] + [(bc - ad)/(c² + d²)]i
Conjugate: (a + bi)* = a - bi
Absolute Value: |a + bi| = √(a² + b²)
Argument: arg(a + bi) = arctan(b/a)

Complex Number Calculations

Operation

Addition Subtraction Multiplication Division Conjugate Absolute Value Argument

Complex Number A

Format: a+bi, bi or a (example: 2+3i, -1-2i, 3i, i, -2)

Complex Number B

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