MATH 113 Lecture 3: Complex Numbers and Roots of Unity
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T imaginary part a bi t at bi di rig g if. Atc 1 bid s la bl atbi x. To multiply at bi ct di act adf. tbc tb. de ac bdt ad tbc i at bi can be represented using polar coordinated by z. 121 is the absolute value of to the origin. Me at bi the numb r z its distance. To multiply in polar coordinates are complex numbers. Iz zag e it 01 0 2 a area real number 0 c. 012hj c l z c cl 14 1. U we can identify each z ev with a means"e. If we add modulo 2h the product of z z e 2 corresponds to the sum of 0 and 02 yo e cora zntadmdidtiu c1rinfwreo. dknmgemodul02r eiq and. Xn 1 dsolutions of the equation for a given. Ii n l n even n odd n l x.
