A) \[-(5/61)+(6/61)i\]
B) \[(5/61)+(6/61)i\]
C) \[(5/61)-(6/61)i\]
D) \[-(5/61)+(6/61)i\]
Correct Answer: B
Solution :
Let \[z=5-6i\] then its multiplication inverse, \[{{z}^{-1}}=\frac{{\bar{z}}}{|z{{|}^{2}}}\] \[=\frac{5+6i}{{{(5)}^{2}}+{{(-6)}^{2}}}=\frac{5+6i}{25+36}\] \[=\frac{5}{61}+\frac{6}{61}i\]
You need to login to perform this action.
You will be redirected in
3 sec
