Tuesday, June 12, 2012

Complex Numbers - Subtraction

When subtracting complex numbers, we subtract real parts to other real parts, and imaginary parts to other imaginary parts.

If z1 = a+ib and z2= r+is are two complex numbers , then their subtraction z1 - z2 can be expressed as  z1 + (-z2) i.e. (a + ib) - (r + is) = (a + ib) + (-r - is) where (-r - is) = -z2.         Hence  z1 – z2 = (a – r) + i(b-s).

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

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