Complex Numbers (multiplication)

Arthur Lee, 1/9/2024

Here is a series of activities for understanding multiplication of complex numbers.


  • 1. complex multiplication
  • 2. complex multiplication 2
  • 3. complex multiplication 3
  • 4. complex multiplication 4
  • 5. complex multiplication 5
  • 6. Complex Multiplication 6

1.

complex multiplication

In this simple example, complex numbers [math]a[/math] and [math]b[/math] are multiplied to give [math]c[/math]. [br][br]Drag [math]b[/math] slowly, without moving [math]a[/math], and observe the change of [math]c[/math]. How would you describe the relation between [math]b[/math] and [math]c[/math]? [br][br]How about if you drag [math]a[/math] while keeping [math]b[/math] constant?
you may share your observation here.
– Arthur Lee

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