Question

Find the additive and multiplicative inverse of Z = 1 + i.​

Answer 1

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1 & 2=1+i

z=(1+i)2=1+i2+21

=0+2i

As we know multiplicative inverse of z=a+ib is given by

z−1=a2+b2a+i(a2+b2−b)

multiplicative inverse of z2

=0+i(0+4−2)

=2−i