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3 and 4 .Determinants and Matrices
easy
જો $P = \left( {\begin{array}{*{20}{c}}i&0&{ - i}\\0&{ - i}&i\\{ - i}&i&0\end{array}} \right)$ અને $Q = \left( {\begin{array}{*{20}{c}}{ - i}&i\\0&0\\i&{ - i}\end{array}} \right)$,તો $PQ$ = . .
A
$\left( {\begin{array}{*{20}{c}}{ - 2}&2\\1&{ - 1}\\1&{ - 1}\end{array}} \right)$
B
$\left( {\begin{array}{*{20}{c}}{\,2}&{ - 2}\\{ - 1}&{\,\,\,1}\\{ - 1}&{\,\,\,1}\end{array}} \right)$
C
$\left( {\begin{array}{*{20}{c}}2&{ - 2}\\{ - 1}&{\,\,1}\end{array}} \right)$
D
$\left( {\begin{array}{*{20}{c}}1&0&0\\0&1&0\\0&0&1\end{array}} \right)$
Solution
(b) First note that $PQ$ must be of order $3 × 2$ and its $(1, 1)$th entry is $i( – i) + 0 – i(i) = 2$.
Standard 12
Mathematics
