16.10.25.md (928B)
1 16/10/25 2 ======== 3 4 Complex numbers 5 --------------- 6 7 - see FIG1 for the definition of an imaginary number 8 - see FIG2 for an example of how to use i 9 - see FIG3 for how to write a complex number 10 - see FIG4 for how to find the sum and product of complex numbers 11 - the formula for the product is messy, just put the 2 numbers next to each other and expand out the bracket 12 - complex conjugation is simply where you flip the sign of imaginary term, the z becomes z* when you do this 13 - this is a flip around the real (x) axis 14 - see FIG5 for modulus and argument 15 - the modulus of a complex number, is the length of the vector it represents 16 - the argument is the angle of the vector (in rad) to the real (x) axis 17 - a complex number times is complex conjugation is the modulus of itself squared 18 - see FIG6 for a writen representation 19 - this value is real, not complex! 20 - see FIG7 for how to divide complex numbers