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# Find the multiplicative inverse of each of the complex numbers. (13) -i

Find the multiplicative inverse of each of the complex numbers.

Q : 13        $-i$

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Let    $z = -i$
Then,
$\bar z = i$
And
$|z|^2 = (0)^2+(1)^2 = 0+1 =1$
Now, the multiplicative inverse is given by
$z^{-1}= \frac{\bar z}{|z|^2}= \frac{i}{1}= 0+i$

Therefore, the multiplicative inverse is   $0+i1$

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