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3 and 4 . determinant and metrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths3 and 4 . determinant and metrices1 Mark
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Answer

Correct option: C.
$A.\,\,\left[ {\begin{array}{*{20}{c}}{\,\,1}&1\\{ - 1}&1\end{array}} \right] = 2I$
c
(c) $A\,.\,\left[ {\begin{array}{*{20}{c}}1&1\\{ - 1}&1\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&{ - 1}\\1&1\end{array}} \right]\,\left[ {\begin{array}{*{20}{c}}1&1\\{ - 1}&1\end{array}} \right]$=$\left[ {\begin{array}{*{20}{c}}2&0\\0&2\end{array}} \right] = 2\,\left[ {\begin{array}{*{20}{c}}1&0\\0&1\end{array}} \right] = 2I$.

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