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Complex Numbers

Find the mult...

Question

Find the multiplicative inverse of the complex numbers given.
$4 - 3 i$ .

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Solution

$\begin{matrix} M u l t i p l i c a t i v e i n v e r s e o f (4 - 3 i) \frac{1}{4 - 3 i} = \frac{4 + 3 i}{(4 - 3 i) (4 + 3 i)} \Rightarrow \frac{4 + 3 i}{16 - 9 i^{2}} = \frac{4 + 3 i}{16 - 9 \times (- 1)} \Rightarrow \frac{4 + 3 i}{25} \Rightarrow \frac{4}{25} + \frac{3 i}{25} \end{matrix}$

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