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Question Details:
the set of complex number C={z=(x,y) | x,yεR}
given: z1= (x1, y1)=(x2, y2)=z2 if and only if x1=x2 and y1=y2
a) prove multiplication is commutative
b) find the additive and multiplicative identities
c) compute the multiplicative inverse of z=(x, y) ≠ (0, 0)
d) show that if z1z2=(0, 0) then z1=(0, 0) or z2=(0, 0)
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