Results 1 to 2 of 2

Math Help - Multiplicative Inverse of...

  1. #1
    Super Member
    Joined
    Feb 2008
    Posts
    535

    Multiplicative Inverse of...

    First off, if z = x + yi with x,y e R
    then, (z) = x - yi with x,y e R (It's the complex conjugate)

    Now, let w = [(z)z]^(-1)[(z)]

    Use the above formula for w to find the multiplicative inverse of z = 2 + i. Answers to be in the form a + bi with a,b e R.


    Any advice is greatly appreciated. Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Gamma's Avatar
    Joined
    Dec 2008
    From
    Iowa City, IA
    Posts
    517
    you are interested in finding (2+i)^{-1}.

    Think about what you would do if it were a rational number, but be more sophisticated.

    (2+i)^{-1}=\frac{1}{2+i}=\frac{1}{2+i}\frac{2-i}{2-i}=\frac{2-i}{5}=\frac{2}{5}-\frac{1}{5}i
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Multiplicative Inverse
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: February 16th 2011, 11:48 AM
  2. multiplicative inverse
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: April 23rd 2010, 01:31 PM
  3. Multiplicative inverse 71.7
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 26th 2009, 09:34 AM
  4. Multiplicative Inverse?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 27th 2007, 10:43 AM
  5. Multiplicative inverse
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 14th 2006, 01:53 PM

Search Tags


/mathhelpforum @mathhelpforum