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Opration on Complex Numbers

    If z1 = x1 + iy1 and z2 = x2 + iy2 are two complex numbers then
  • Addition
    The real part is added separately and the complex part is added separately.
    z1 + z2 = (x1 + x2) + i(y1 + y2)

  • Subtraction
    The real part is subtracted separately and the complex part is subtracted separately.
    z1 - z2 = (x1 - x2) + i(y1 - y2)

  • Multiplication
    z1×z2 = (x1x2 - y1y2) + i(x1y2 + x2y1)

  • Division
    The denominator and numerator is multiplied by the complex conjugate of the denominator and the multiplication is carried out. The denominator left is the square of the modulus of the original denominator.
    z1/z2 = [(x1x2 + y1y2) + i(x2y1 - x1y2)]/(x22 + y22)



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