Theory ∣AB∣=∣A∣∣B∣\left|\dfrac{A}{B}\right|=\dfrac{|A|}{|B|}BA=∣B∣∣A∣ (for B≠0B\neq 0B=0). If ∣A∣=∣B∣|A|=|B|∣A∣=∣B∣, then square both sides to get algebraic equations. For u+ivu+ivu+iv, ∣u+iv∣2=u2+v2|u+iv|^2=u^2+v^2∣u+iv∣2=u2+v2.