|
|
You are here: Home / Category Index / Complex Numbers / Conjugates Of Complex Numbers
|
Conjugates Of Complex Numbers - By Aine Finnegan
How to use this applet:The vertical axis of the graph represents the real part of the number, and the horizontal axis the imaginary part. Click on the graph to draw a complex number (shown in blue). The applet also draws the conjugate number (shown in red) and prints the numbers to the right of the screen. Click and drag the mouse to move the complex number around and see the conjugate number change too.Notes on the maths used in the applet:We know that complex numbers exist in thr form 'a + bi', where 'a' is the real part and 'bi' is the imaginary part. The conjugate of this complex number is of the form 'a - bi', i.e. multiply the imaginary part by -1. Conjugates are of use when we are dealing with division of complex numbers, as if we multiply the top and bottom parts of the problem by the conjugate of the bottom part, we cancel out the imaginary part of the divisor. This is discussed in more detail in the section on Division Of Complex Numbers.
|
|
