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Definition ( Complex number)


Definition( Complex Number)

A complex number is an element (x, y) of the set R^2 = { (x, y) :x,y \in R }

obeying the following rules of addition and multiplication

If Z_1=(x_1,y_1),Z_2=(x_2,y_2) \in R^2  then

1.     Z_1+Z_2=(x_1+x_2,y_1+y_2)

2.     Z_1.Z_2=(x_1x_2-y_1y_2,x_1y_2+y_1x_2)

as   Z= 3+4i

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