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Engineering Maths · Q159

Linear Algebra

Engineering and GATE · Engineering Maths · question 159

Q159

The inverse of matrix \[ [ array*20c 0&1&0 \\ 1&0&0 \\ 0&0&1 array ]\] is

The inverse of matrix \left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 1&0&0 \\ 0&0&1 \end{array}} \right]  is
A.
\left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 1&0&0 \\ 0&0&1 \end{array}} \right]
Answer
B.
\left[ {\begin{array}{*{20}{c}} 0&{ - 1}&0 \\ { - 1}&0&0 \\ 0&0&{ - 1} \end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}} 0&1&0 \\ 0&0&1 \\ 1&0&0 \end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}} 0&{ - 1}&0 \\ 0&0&{ - 1} \\ { - 1}&0&0 \end{array}} \right]

Answer: Option A

Solution

Answer: Option A
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