Q38
An unitary matrix \[ [ array*20c ae^i &b \\ ce^i &d array ]\] is given, were a, b, c, d, α and β are real. The inverse of the matrix is
An unitary matrix \left[ {\begin{array}{*{20}{c}}
{a{e^{i\alpha }}}&b \\
{c{e^{i\beta }}}&d
\end{array}} \right] is given, were a, b, c, d, α and β are real. The inverse of the matrix is
A.
\left[ {\begin{array}{*{20}{c}}
{a{e^{i\alpha }}}&{ - c{e^{i\beta }}} \\
b&d
\end{array}} \right]
B.
\left[ {\begin{array}{*{20}{c}}
{a{e^{i\alpha }}}&{c{e^{i\beta }}} \\
b&d
\end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}}
{a{e^{ - i\alpha }}}&b \\
{c{e^{ - i\beta }}}&d
\end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}}
{a{e^{ - i\alpha }}}&{c{e^{ - i\beta }}} \\
b&d
\end{array}} \right]
AnswerAnswer: Option D
Solution
Answer: Option D
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