Question
यदि $A + B = \left[ {\begin{array}{*{20}{c}}1&0\\1&1\end{array}} \right]$ और $A - 2B = \left[ {\begin{array}{*{20}{c}}{ - 1}&1\\0&{ - 1}\end{array}} \right]\,,$ तो $A=$

Answer

c
(c) $2A + 2B = \left[ {\begin{array}{*{20}{c}}2&0\\2&2\end{array}} \right]$, $A - 2B = \left[ {\begin{array}{*{20}{c}}{ - 1}&1\\0&{ - 1}\end{array}} \right]$   

 जोड़ने पर $3A = \left[ {\begin{array}{*{20}{c}}1&1\\2&1\end{array}} \right]$

$ \Rightarrow \,A = \left[ {\begin{array}{*{20}{c}}{1/3}&{1/3}\\{2/3}&{1/3}\end{array}} \right]$.

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