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Engineering Maths · Q126

Linear Algebra

Engineering and GATE · Engineering Maths · question 126

Q126

For given matrix \[ P = [ array*20c 4 + 3 i& - i \\ i&4 - 3 i array ]\] where \[ i = - 1 ,\] the inverse of matrix P is

For given matrix {\text{P}} = \left[ {\begin{array}{*{20}{c}} {4 + 3{\text{i}}}&{ - {\text{i}}} \\ {\text{i}}&{4 - 3{\text{i}}} \end{array}} \right]    where   the inverse of matrix P is
A.
\frac{1}{{24}}\left[ {\begin{array}{*{20}{c}} {4 - 3{\text{i}}}&{\text{i}} \\ { - {\text{i}}}&{4 + 3{\text{i}}} \end{array}} \right]
Answer
B.
\frac{1}{{25}}\left[ {\begin{array}{*{20}{c}} {\text{i}}&{4 - {\text{i}}} \\ {4 + 3{\text{i}}}&{ - {\text{i}}} \end{array}} \right]
C.
\frac{1}{{24}}\left[ {\begin{array}{*{20}{c}} {4 + 3{\text{i}}}&{ - {\text{i}}} \\ {\text{i}}&{4 - 3{\text{i}}} \end{array}} \right]
D.
\frac{1}{{25}}\left[ {\begin{array}{*{20}{c}} {4 + 3{\text{i}}}&{ - {\text{i}}} \\ {\text{i}}&{4 - 3{\text{i}}} \end{array}} \right]

Answer: Option A

Solution

Answer: Option A
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