12th Class
Mathematics
Sample Paper
Maths Olympiad Model Test Paper-12
question_answer
Let X be the solution set of the equation \[{{A}^{x}}=I,\] where \[A=\left[ \begin{matrix} 0 & 1 & -1 \\ 4 & -3 & 4 \\ 3 & -3 & 4 \\ \end{matrix} \right]\] and I is the corresponding unit matrix and \[x\subseteq N,\] then the minimum value of \[\sum{({{\cos }^{x}}\theta +{{\sin }^{x}}\theta ),}\] \[\theta \in R\] is _________.