Find the multiplicative inverse of 3 +4I

 

Asked by gurjarg3619 | 22nd Mar, 2021, 10:55: AM

Expert Answer:

 
I assume the question is multiplicative inverse  ( 4 + i ) , where i = √-1
 
Multiplicative inverse of (4 + i ) = 1 / ( 4+ i )
 
begin mathsize 14px style fraction numerator 1 over denominator left parenthesis 4 plus i space right parenthesis end fraction space equals space fraction numerator 1 over denominator left parenthesis space 4 space plus space i space right parenthesis end fraction cross times fraction numerator left parenthesis space 4 space minus space i space right parenthesis over denominator left parenthesis space 4 space minus space i space right parenthesis end fraction space equals space 1 over 17 space left parenthesis space 4 space minus space i space right parenthesis end style

Answered by Thiyagarajan K | 22nd Mar, 2021, 11:21: AM