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# hw1 - z 1 = 2 j 3 z 2 = 1-j 3 and z 3 = j 2(a z 1 z 2 z 3(b...

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ASE 330M Linear System Analysis Unique Number: 12880, Spring 2007 Revised Homework #1 Review on Complex Number Variables Date given: January 25, 2007 Date Due: February 1, 2007 1. Convert the following complex numbers to polar coordinate (exponential) form: (a) - 2 + j 1 (b) 2 + j 4 (c) 1 - j 3 2. Convert the following complex numbers to rectangular (cartesian) form: (a) πe j 2 (b) 2 e - j 4 (c) - 3 e - j 3. Evaluate the expressions below and leave your results in rectangular form for
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Unformatted text preview: z 1 = 2 + j 3, z 2 = 1-j 3, and z 3 = j 2. (a) z 1 z 2 z 3 (b) ( z 1 + z 2 ) /z * 3 (c) ( z 1 /z 2 ) 3 4. Evaluate the expressions below and leave your results in rectangular form for z 1 = 0 . 5 e j . 24 , z 2 = 4 e-j 1 . 2 , and z 3 = 3 e j 4 . (a) ( z 1 z 2 ) / ( z 2 + z 3 ) (b) ( z 1 + z * 2 + z 3 ) * 5. Exercise problems B.6 and B.18 from your textbook....
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