assgt1 - (2 + 3 i )(3-2 i ) (1-i )(4 + 5 i ) in standard...

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MATH 407-10a, Assignment 1 Guidelines Answer the questions in the space provided; you may write on both sides of the paper. Put the names of all group members in the top right corner. You may append additional sheets as needed. Please staple all sheets together before submission. Due: Tuesday, Jan 26th (in class) 1. ( 10 marks ) Express the complex number
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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.

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