Q135
The inverse of the matrix \[ [ array*20c 3 + 2 i& i \\ - i&3 - 2 i array ]\] is
The inverse of the matrix \left[ {\begin{array}{*{20}{c}}
{3 + 2{\text{i}}}&{\text{i}} \\
{ - {\text{i}}}&{3 - 2{\text{i}}}
\end{array}} \right] is
A.
\frac{1}{{12}}\left[ {\begin{array}{*{20}{c}}
{3 + 2{\text{i}}}&{ - {\text{i}}} \\
{\text{i}}&{3 - 2{\text{i}}}
\end{array}} \right]
B.
\frac{1}{{12}}\left[ {\begin{array}{*{20}{c}}
{3 - 2{\text{i}}}&{ - {\text{i}}} \\
{\text{i}}&{3 + 2{\text{i}}}
\end{array}} \right]
AnswerC.
\frac{1}{{14}}\left[ {\begin{array}{*{20}{c}}
{3 + 2{\text{i}}}&{ - {\text{i}}} \\
{\text{i}}&{3 - 2{\text{i}}}
\end{array}} \right]
D.
\frac{1}{{14}}\left[ {\begin{array}{*{20}{c}}
{3 - 2{\text{i}}}&{ - {\text{i}}} \\
{\text{i}}&{3 + 2{\text{i}}}
\end{array}} \right]
Answer: Option B
Solution
Answer: Option B
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