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Showing posts from July, 2021

PROPERTIES OF COMPLEX NUMBER

 T here are some property of complex number under     +,     −,    ×,    ÷      we prove these properties any value of complex number we take variable    a₁, b₁,c₁,d₁,e₁, f₁ ADDITION ( + ) complex number multiplication ( i ): closure property (+)    when         (a₁+b₁) , ( c₁ + d₁ )       ∈  ℂ =    (a₁+  b₁)+  ( c₁  + d₁ )  = (a₁ + c₁ ) +  (b₁+ d₁ )      ∈ ℂ    (say closed   +  in complex number )  ( ii ): associative property  ( + ) once        (a₁+b₁) ,  ( c₁ ,d₁ ) , (e₁  , f₁ )     ∈  ℂ     [ (  (a₁+b₁ ) +  ( c₁ +d₁ )     ] + (e₁  + f₁ )   =   ( (a₁+ c₁ ) + e₁        (  b₁ + d₁  )   +  f₁  = [ a₁ +...