Find the multiplicative inverse of the complex number -i and evaluate

Asked by Pragya Singh | 1 year ago |  54

##### Solution :-

Let’s consider z = –i

$$\overline{z}=i\; and\;|z|^2=1^2=1$$

Thus, the multiplicative inverse of –i is given by z-1

$$z^{-1}=\dfrac{\overline z}{|z|^2}=\dfrac{i}{1}=1$$

Answered by Abhisek | 1 year ago

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