ch17sc1and2cplxnum - A complex number z has the form z = x...

This preview shows page 1 - 3 out of 5 pages.

1()2A complex number has the form1 and ,are real numberszzxiyix y=+= -( )( )Real part of Imaginary part of ReImzzzxzy==1424314243Real axisImaginaryaxisThe Complex PlaneThe or just of is zzxiy=-complex conjugateconjugate22The or of iszzxy=+modulusabsolute valuexiy-zxiy+(),x yxyzzMath 241 – RimmerArithmetic111zxiy=+222zxiy=+()()121212zzxxi yy+=+++()()121212zzxxi yy-=-+-()()()()12112212121221z zxiyxiyx xy yi x yx y=++=-++()()2220zzxiyxiyxyizzz=+-=++=()()2222xiyxiy--°()2Must be written in form somultiply both numerator and denom.by like rationalizing the denom.xiyz+121212212222x xy yx yx yizz +-=+  111222zxiyzxiy+=+()20zMath 241 – Rimmer17.1/17.2 Complex Numbers
2Properties1212zzzz+=+1122zzzz =  1212zzzz-=-1212z zzz=()()2zzxxi yyx+=++-=( )Re2zzxz+==()()2zzxxi yyiy-=-++=( )()1Im22zzyzi zzi-=== --( )zz=

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture