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Unformatted text preview: (2 + 3 i )(3-2 i ) (1-i )(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