Multiplicative InverseDate: 6/2/96 at 10:56:30 From: Anonymous Subject: Multiplicative Inverse Find the multiplicative inverse of 2+5i. Date: 6/2/96 at 16:53:25 From: Doctor Anthony Subject: Re: Multiplicative Inverse We require (2+5i)(a+ib) = 1 a+ib = 1/(2+5i) Multiply top and bottom by the conjugate of (2+5i), that is (2-5i) = (2-5i)/{(2+5i)(2-5i)} = (2-5i)/(4+25) = (2-5i)/29 = 2/29 - (5/29)i -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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