Complex Numbers Arithmetic Operation Definition Complex Conjugate History History2 Equality NEXT

Complex Numbers Polar Form Modulus & Argument Negative Argument Arithmetic Operation Power & Roots DeMoivre’s theorem

z = a + ib Definition of Complex Numbers, z Imaginary part Real part a = Re(z), b = Im(z) Real part example1 example2

Let z1 = a + ib and z2 = c + id Then, z1 + z2 = (a + c) + i(b + d) and Addition and Subtraction of Complex Numbers Let z1 = a + ib and z2 = c + id Then, z1 + z2 = (a + c) + i(b + d) and z1 - z2 = (a – c) + i(b – d) example3

Let z1 = a + ib and z2 = c + id Then, z1z2 = (a + ib)x(c + id) Multiplication of Complex Numbers Let z1 = a + ib and z2 = c + id Then, z1z2 = (a + ib)x(c + id) = (ac – bd) + i(ad + bc) example4

Complex Conjugate Given z = a + ib, then its conjugate is example5

Division of Complex Numbers Let z1 = a + ib and z2 = c + id example6