Wednesday, 22 February 2012

Complex Number Algebra

  • Open Genius Maker software and click "Complex Algebra" button. It opens the Complex Algebra window.
  • You may see 3 menus. One for selecting the operation, second one for entering input data as well as for display of answer and the third one for displaying the steps to solution. 
  • Let us learn to use the software through examples. 

  • Example - 1

  • Find the sum of the complex numbers (4+3i) and (2+6i)
    • Click the first option "Addition" in the "Select an operation" menu.
    • The title of the top right menu should read as "Addition of Complex Numbers"
    • Click "Clear Data" button.
    • You may see the convention for entering the input data. In this case it reads as below.
    ( a + bi ) + ( c + di )
    • Hence the current problem has to be entered as a = 4, b =3, c = 2 and d= 6
    • After entering these values, click "Evaluate" button. The software displays the answer as ( 6 + 9 i )
    • The steps to solution menu shows the steps as follows. The given problem is to evaluate ( 4 + 3 i ) + ( 2 + 6 i )

      Add Real parts, 4 + 2 = 6

      Add Imaginary parts, 3 + 6 = 9

      Hence Solution is ( 6 + 9 i )

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