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Unformatted text preview: (2 + 3 i )(32 i ) (1i )(4 + 5 i ) in standard form ( i.e., in the form a + ib ). 2. Let z and ω be complex numbers; suppose that  z  ≤ 1 and  ω  ≤ 1. (i) ( 10 marks ) Prove that  z + ω  ≤  1 + z ω  . (ii) ( 5 marks ) Obtain a set of necessary and suﬃcient conditions for equality to hold in (i)....
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This note was uploaded on 03/08/2010 for the course MATH 407 taught by Professor Staff during the Fall '08 term at Texas A&M.
 Fall '08
 Staff
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