Algebra of Complex Numbers
{"Image DocumentName": "Algebra of Complex Numbers", "Image ImageDescription": "In this Section, we shall develop the algebra of complex numbers. Addition of two complex numbers Let z1 = a + ib and z2 = c + id be any two. complex numbers. Then, the sum z1 + z2 is defined as follows: z1 + z2 = (a + c) + i (b + d), which is again a complex number. For example, (2 + i3) + (\u2013 6 +i5) = (2 \u2013 6) + i (3 + 5) = \u2013 4 + i 8. The addition of complex numbers satisfy the following properties: (i) The closure law The sum of two complex numbers is a complex. number, i.e., z1 + z2 is a complex number for all complex numbers. z1 and z2. (ii) The commutative law For any two complex numbers z1 and z2, z1 + z2 = z2. + z1.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}