Question

write the multiplicative inverse of the following complex number (7,24).
​

Answer 1

Answer:

Multiplicative means reciprocal of that no.

7/24 or or two no. 7 and 24 if 7/24 then multiplicative inverse will be 24/7 and if different no.

then multiplicative inverse of 7 will be 1/7 and 24 will be 1/24

hope it help

please mark it as brainalist and follow me plz... mark as brainalist plz.......

Answer 2

Concept: Multiplicative inverse of a number is a type of number which when multiplied by the original number gives the value 1. It is also known as the reciprocal of the number.

Given: complex number $(7,24)$ is written as

$z=7+24i$

Find: Multiplicative inverse of $7+24i$

Solution: we know that Multiplicative inverse of a complex number is given by

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

$\overline z = 7-24i$

$|z|^{2} = {7^{2} +(-24)^{2}$    ⇔     $|z|^{2} = 49+576$    ⇔    $|z|^{2} =625$

Hence, $z^{-1} = \frac{ 7-24i}{625 }$

Therefore, The multiplicative inverse of $(7,24)$ is $\frac{ 7-24i}{625 }$

#SPJ3