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#1 2013-06-29 02:07:22

purpeil
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complex number problem

for any complex number z prove that - I z I < or equal to Re (z) < or equal to  I z I

#2 2013-06-29 03:06:07

{7/3}
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Re: complex number problem

I'm assuming u mean abs(z) by IzI in which case z=a+bi.Re(z)=a and abs(z)=square root of a^2+b^2
now,a^2<a^2+b^2 [equal in case of b=0] taking positive square root |a|<abs(z),by the inequality law of absoloute value,-abs(z)<a<abs(z)

Last edited by {7/3} (2013-06-29 03:10:21)


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