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

Question

Asked by Pragya Singh | 1 year ago | 54

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Accepted Answer

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