Derive the following relations, where z, z1, and z2 are arbitrary complex numbers: (a)
Chapter 1, Problem 1.53(choose chapter or problem)
Derive the following relations, where z, z1, and z2 are arbitrary complex numbers: (a) (e 2 )* = e2* (b) ztz; + z~z2 = 2Cfl~{ztz;} = 2eR~{z~z2} (c) lzl = lz*l (d) lz1 z2l = lz1llz2l (e) CRe{z} :::; lzl, dm{z} :::; lzl (f) lz1z; + ziz2l :::; 21z1z2l (g) (lzii - lz2l)2 :::; lz1 + z2l2 :::; (lzii + lz2l?
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